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

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Question 618114: 5+ROOT(a+7)=a
or
5+√(a + 7)=a
please show all your work, and here is what i did

5+√(a + 7)=a
5=√(a + 7)+a
25=a+7+2a
25=2a+a+7
2a+a-18
but thats wrong, where did i make a mistake and please work out this problem thank you

Click here to see answer by ewatrrr(24785) About Me 

Question 618228: Please check my work

Solve:
√(n + 6)-√n=√6
√(n+6)= √6+√n
N+6=6+n
so is this a NO SOLUTION question as 0 = 0?
Thank you in advance for your help

Click here to see answer by Alan3354(69443) About Me 

Question 618241: Hello, I wondering if i did this question right, thank you for your help.
(√7 - √2)^2
(√7 - √2)+(√7 - √2)=0
(√7 - √2)=(√7 - √2)
7-2=(7-2)^2
7-2=49-14-14+4
7-2=49-28+4
5=25
20

Click here to see answer by josmiceli(19441) About Me 

Question 618507: Please solve with an explanation: 3sqrt(8)+sqrt(12)+2sqrt(2)+sqrt(48)
Click here to see answer by stanbon(75887) About Me 

Question 618744: Hello my name is Lauren Blue and I am trying to study for my final on Wednesday June 13th, 2012 and I am having trouble with the Multiplying and Dividing Radical Expressions. THe question I am stuck on is (4 multiplied by the square root of x) multiplied by (-2 multiplied by the square root of x).
Click here to see answer by richwmiller(17219) About Me 

Question 618751: hello my question is 3 multiplied by the sqare root of 3(square root of 27-1)
Click here to see answer by Alan3354(69443) About Me 

Question 619180: what is the value of 'x' in this radical equation of 4{sqrt(3x+6)}-x=14.
Click here to see answer by ewatrrr(24785) About Me 

Question 619629: Hi there,
I am trying to find an example for the folowing equation:
sqrt( a^2+b^2)≠a+b
Your help is greatly appreciated.
Joanna

Click here to see answer by jim_thompson5910(35256) About Me 

Question 619696: What is the radical form of m^2.5?

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Question 619759: 1 divided by radical 2 (+3)
radical x cubed divided by radical 5x

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Question 619828: why does 3 minus 5 minus 6 multiply by 8 equals minus 50
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Question 619827: why does 3 minus 5 minus 6 multiply by 8 equals minus 50
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Question 620233: 3 / sqrt (7) - 1
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Question 620260: Pllease help me solve this equation..express in simplest radical form 16 sqrt (21)/2sqrt (7) minus 5sqrt (12)
Thank u

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Question 620652: How do you solve radical 81 over radical 7?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 620690: Darla is building a new desk. To make sure she had made a square corner, she measures 6ft. from the corner along one edge and 3ft. from the corner along the other edge. How long should the diagonal be between those two points if the corner is a right angle?
Diagonal = ? ft.
(Round to the nearest thousandth)

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Question 620995: Square root of 45 minus square of 125
The answer has to be in square root form I need step by step

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Question 621140: Rationalize the denominator and simplify. 12 divided by square root 7 plus 2
Click here to see answer by Edwin McCravy(20055) About Me 

Question 621144: Rationalize the denominator and simplify. 5 divided by 4 minus square root 3
Click here to see answer by solver91311(24713) 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
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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(24713) About Me 

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

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Question 621650: simplify (-2-2)[8+(7+8)]
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Question 621703: 3sqrt%28x-2%29=3
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Question 621699: sqrt%285x-3%29=sqrt%289x-7%29
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Question 621743: (4-2i)^2 = 12-16i how?
Click here to see answer by Alan3354(69443) 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

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

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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(24713) About Me 

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

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Question 622556: please help me solve sqrt(y+6) = 8
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Question 622564: 9b^3 + 7b - 5*(9 b^3 - 2b) =
Click here to see answer by lenny460(1073) About Me 

Question 623016:
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Question 623116: (3x²-5x)/(18x-30)
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Question 623092: simplify
root symbol 39a^3b^5/root symbol 13a2b
I am having difficulty with this can you help please????

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Question 623256: How do you solve 100(X+1/2)^2=1
Click here to see answer by Alan3354(69443) 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?


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

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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(24785) 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(24785) 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(24785) 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(24785) 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(2103) About Me 

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