Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Tutors Answer Your Questions about Radicals (FREE)


Question 621140: Rationalize the denominator and simplify. 12 divided by square root 7 plus 2
Click here to see answer by Edwin McCravy(8999) About Me 

Question 621144: Rationalize the denominator and simplify. 5 divided by 4 minus square root 3
Click here to see answer by solver91311(17059) About Me 

Question 621139: Rationalize the denominator and simplify. Square root variable A plus 2 square root variable Y over/divided by square root variable A minus 2 square root variable Y
Click here to see answer by solver91311(17059) About Me 

Question 621154: Rationalize the denominator and simplify. 5 divided by 4 minus square root 3? Please and thank you
Click here to see answer by solver91311(17059) About Me 

Question 621004: how do i simplify the square root of 100x to the 6 power

Click here to see answer by ankor@dixie-net.com(15745) About Me 

Question 621650: simplify (-2-2)[8+(7+8)]
Click here to see answer by lenny460(829) About Me 

Question 621703: 3sqrt%28x-2%29=3
Click here to see answer by ewatrrr(10682) About Me 

Question 621699: sqrt%285x-3%29=sqrt%289x-7%29
Click here to see answer by lynnlo(4169) About Me 

Question 621743: (4-2i)^2 = 12-16i how?
Click here to see answer by Alan3354(31487) About Me 

Question 622116: I have to solve this equation with radicals and I am not sure if i just square both sides and then that removes the radicals and it becomes a normal equation. I think that's how to do it but for some reason I think there might be a different rule for when two radicals are on two sides of the equations. If you could help me with this and show work I would really appreciate it, this has me stumped.
sqrt%285x-3%29=sqrt%289x-7%29

Click here to see answer by vleith(2825) About Me 

Question 622136: What is the simplified form of the cubed square root of -1?

Click here to see answer by math-vortex(472) About Me 

Question 622288: The formula for the volume of a sphere is V=4/3(pi)r^3. Find the radius to the nearest hundredth of a sphere with each volume. V= 20ft^3. Could you please explain how you got the answer so I know how to do the other problems? Thank You!!
Click here to see answer by matineesuxxx(27) About Me 
Question 622288: The formula for the volume of a sphere is V=4/3(pi)r^3. Find the radius to the nearest hundredth of a sphere with each volume. V= 20ft^3. Could you please explain how you got the answer so I know how to do the other problems? Thank You!!
Click here to see answer by solver91311(17059) About Me 

Question 622293: write the quotation in scientific notation
4,341

Click here to see answer by math-vortex(472) About Me 

Question 622556: please help me solve sqrt(y+6) = 8
Click here to see answer by solver91311(17059) About Me 

Question 622564: 9b^3 + 7b - 5*(9 b^3 - 2b) =
Click here to see answer by lenny460(829) About Me 

Question 623016:
Click here to see answer by lynnlo(4169) About Me 

Question 623116: (3x²-5x)/(18x-30)
Click here to see answer by Earlsdon(6294) About Me 

Question 623092: simplify
root symbol 39a^3b^5/root symbol 13a2b
I am having difficulty with this can you help please????

Click here to see answer by jsmallt9(3296) About Me 

Question 623256: How do you solve 100(X+1/2)^2=1
Click here to see answer by Alan3354(31487) About Me 

Question 623719: Radicals
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. If you do not use Equation Editor to properly format your responses, a 10% deduction will be assessed (3 points). First, save this file to your hard drive by selecting Save As from the File menu. Enter your answer in the space provided next to each problem. You must show work or offer an explanation of how you arrived at your answer for each problem in order to receive full credit. Please see the “Application Assignments and Grading Criteria” in the Main forum for detailed information about how the assignment is graded.

PART A
Marine biologists have set up stations along the shoreline of a large oil spill to clean birds affected by the spill. The cost to set up the cleaning station is $9800 and the cost of cleaning each bird is $9
PROBLEM SHOW YOUR SOLUTIONS HERE
1. Write an expression that gives the total cost of cleaning x birds.

2. You can find the average cost per bird by dividing the total cost by the number of birds. Write the expression for the average cost per bird. (The only variable in your expression should be x)

3. Find the average cost per bird to clean 500 birds, 50 birds and 5 birds
4. As the number of birds cleaned decreases, what happens to the average cost to clean each bird?
5. Would the average cost ever fall below $9? Why or why not? If you answered yes, identify a value that supports your answer.
6. If the organization has a budget of $13 per bird, how many birds can be cleaned?
[If your answer is a decimal, please round to the nearest whole number]

PART B
The cost, in millions of dollars, to remove x % of the oil in the sea is modeled by

PROBLEM SHOW YOUR SOLUTIONS HERE
1. What is the cost to remove 80% of the oil?

2. What is the cost to remove 95% of the oil?

3. What is the cost to remove 99% of the oil?

4. For what value is this equation undefined?
5. Provide an explanation of why it makes sense for the cost to undefined for the value found in #4, based on what you know about pollution.

PART C
To estimate the benefit of their cleanup efforts, biologists count the number of birds’ nests along the shoreline. The total number of nests is inversely proportional to the amount (in tons) of oil remaining.
PROBLEM SHOW YOUR SOLUTIONS HERE
1. Write an equation relating N (the number of nests found along the shoreline) to A (the amount of oil remaining). Use k to represent the constant of variation.

2. When there were 1000 tons of oil remaining from the spill, biologists counted 30 nests along the shoreline. Find the constant of variation k.
3. If the organization estimates that they will be able to clean up all but 75 tons of oil, how many nests should be along the shoreline when cleanup efforts are complete?


Click here to see answer by solver91311(17059) About Me 

Question 623755: Rationalize the denominator in the following expression.
4/cuberoot(3)
(4 divided by cube root of 3)

Click here to see answer by solver91311(17059) About Me 

Question 623983: how do I figure out how to remove a term with a negative power from underneath a square root? for example, I have be to the negative 3 under a square root. Would I multiply it by 1/2 to get rid of the negative?
Click here to see answer by ewatrrr(10682) About Me 

Question 624294: I need help with this portion of my assignment and I'm not sure how to set-up these problems and show my work. If anyone can oplease help me to solve these problems your help will be greatly appreciated...Thank You in advance.
Radicals Assignment
PART C
To estimate the benefit of their cleanup efforts, biologists count the number of birds’ nests along the shoreline. The total number of nests is inversely proportional to the amount (in tons) of oil remaining.
PROBLEM SHOW YOUR SOLUTIONS HERE
1. Write an equation relating N (the number of nests found along the shoreline) to A (the amount of oil remaining). Use k to represent the constant of variation.

2. When there were 1000 tons of oil remaining from the spill, biologists counted 30 nests along the shoreline. Find the constant of variation k.
3. If the organization estimates that they will be able to clean up all but 75 tons of oil, how many nests should be along the shoreline when cleanup efforts are complete?


Click here to see answer by ewatrrr(10682) About Me 

Question 624292: I need some help with figuring out how and where to start on this assignment, In this particular assignment all work has to be shown. I have no idea how these problems are supposed to be set-up and I need help right away if you can help me please respond and thank you.
Radicals
PART A
Marine biologists have set up stations along the shoreline of a large oil spill to clean birds affected by the spill. The cost to set up the cleaning station is $9800 and the cost of cleaning each bird is $9
PROBLEM SHOW YOUR SOLUTIONS HERE
1. Write an expression that gives the total cost of cleaning x birds.

2. You can find the average cost per bird by dividing the total cost by the number of birds. Write the expression for the average cost per bird. (The only variable in your expression should be x)

3. Find the average cost per bird to clean 500 birds, 50 birds and 5 birds

4. As the number of birds cleaned decreases, what happens to the average cost to clean each bird?
5. Would the average cost ever fall below $9? Why or why not? If you answered yes, identify a value that supports your answer.
6. If the organization has a budget of $13 per bird, how many birds can be cleaned?
[If your answer is a decimal, please round to the nearest whole number]

Click here to see answer by ewatrrr(10682) About Me 

Question 624293: This assignment is about Radical expression and I've been struggling to get help and a clear understanding for this assignment of ho these problems should be set-up and written to show the work. Is there anyone that can help me please? This is Part B of my assignment and I managed to get through Part A, but now I'm confused.
Radicals
PART B
The cost, in millions of dollars, to remove x % of the oil in the sea is modeled by

PROBLEM SHOW YOUR SOLUTIONS HERE


1. What is the cost to remove 80% of the oil?

2. What is the cost to remove 95% of the oil?

3. What is the cost to remove 99% of the oil?

4. For what value is this equation undefined?
5. Provide an explanation of why it makes sense for the cost to undefined for the value found in #4, based on what you know about pollution.


Click here to see answer by ewatrrr(10682) About Me 

Question 624313: Let f(x) = 4x - 5 and g(x) = 6x - 3. Find f(x) g(x).

A. 10x – 8

B. 10x – 2

C. –2x – 8

D. –2x – 2

Click here to see answer by oscargut(900) About Me 

Question 624323: PART B
The cost, in millions of dollars, to remove x % of the oil in the sea is modeled by

C=12,000/300-3x
PROBLEM SHOW YOUR SOLUTIONS HERE
1. What is the cost to remove 80% of the oil?

2. What is the cost to remove 95% of the oil?

3. What is the cost to remove 99% of the oil?


Click here to see answer by ewatrrr(10682) About Me 

Question 624266: Simplest radical form. I need to know the steps to get to the answer.
sqrt2[sqrt5+sqrt11]

Click here to see answer by jsmallt9(3296) About Me 

Question 624314: Graph the equation
y = 2sqrtx

Click here to see answer by jim_thompson5910(28696) About Me 

Question 624358: solve for n: n= n^2-n
Click here to see answer by jim_thompson5910(28696) About Me 

Question 624474: Simplify. Remember to use Absolute-value notation when necessary. If a root Cannot be simplified, STATE This. Please Show your steps, and explain as you go, for full credit.
5 is the square root of - 1/32
I did not know how to make the square root here. But the 5 is right above the square root sign. The - 1/32 is inside the square root.
Any and all help is greatly appreciated on this problem.

Click here to see answer by ewatrrr(10682) About Me 

Question 624501: Multiply and simplify if possible.
sqrt7x[sqrtx - 7sqrt7]
A. xsqrt7 - 49sqrtx
B. xsqrt7 - xsqrt49
C. sqrt7x - 49x
D. -sqrt42x

Click here to see answer by ewatrrr(10682) About Me 

Question 624498: What is the simplest form of the quotient?
^4sqrt400
------------
^4sqrt5
A. 5^4sqrt2
B. 2^4sqrt5
C. 2sqrt5
D. ^4sqrt80

Click here to see answer by Alan3354(31487) About Me 

Question 624556: I can't seem to get the right answer for this problem. Can anyone help?
2√(50)-√(32)+3√(72)

Click here to see answer by solver91311(17059) About Me 
Question 624556: I can't seem to get the right answer for this problem. Can anyone help?
2√(50)-√(32)+3√(72)

Click here to see answer by josmiceli(9817) About Me 

Question 624502: What is the simplest form of the quotient?
^3sqrt162
A. 3^3sqrt3
B. ^3sqrt162
C. -3^3sqrt3
D. 3sqrt3

Click here to see answer by oscargut(900) About Me 

Question 624497: What is the simplest form of the radical expression?
2^4sqrt2x + 6^4sqrt2x
A. 8^4sqrt4x
B. 8^4sqrt2x
C. 16^4sqrt2x
D. not possible to simplify

Click here to see answer by jsmallt9(3296) About Me 

Question 624594: f(x)=(4x)sqrt(3-x)
a)find the zeroes of the function
b)approximate the intervals over which the function is increasing, decreasing, or constant
c)determine whether the function is even, odd, or neither
I tried it out and for a) (0,4)(3,0) c)neither

Click here to see answer by jsmallt9(3296) About Me 

Question 624695: Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (f ° g)(-5).

A. 23

B. –53

C. –9

D. 3

Click here to see answer by oscargut(900) About Me 

Question 624702: What is the solution of the equation?
4(3-x)^4/3 - 5 = 59
A. –5, 11

B. 5

C. 11

D. –11

Click here to see answer by Edwin McCravy(8999) About Me 
Question 624702: What is the solution of the equation?
4(3-x)^4/3 - 5 = 59
A. –5, 11

B. 5

C. 11

D. –11

Click here to see answer by ewatrrr(10682) About Me 

Question 624697: What is a simpler form of the radical expression?
^4sqrt81x^20y^8
A. 3|x^5|y^2
B. 9|x^25|y^4
C. 9x^25|y^4|
D. 3x^5|y^2|

Click here to see answer by ewatrrr(10682) About Me 

Question 624696: A garden has width sqrt13 and length 7sqrt13 . What is the perimeter of the garden in simplest radical form?
A. 14sqrt13 units
B. 16sqrt13 units
C. 91 units
D. 8sqrt13

Click here to see answer by ewatrrr(10682) About Me 

Question 624740: how do you write the 4th root of x multiplied by the 5th root of 3x as a single radical expression?
Click here to see answer by jim_thompson5910(28696) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190