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

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Question 143684: what is the value of x: x= The square root of (x-12)
Click here to see answer by rapaljer(4667)

Question 143787: For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x , as a percent (not its decimal equivalent), citizens participate.

a) Using this model, approximately what is the cost if 60% of the citizens participate?
Using this model, estimate the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.

Click here to see answer by stanbon(57424)

Question 143788: For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x , as a percent (not its decimal equivalent), citizens participate.

FORMULA- C (x)= 1.5x / 100x
a) Using this model, approximately what is the cost if 60% of the citizens participate

Using this model, estimate the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.

Click here to see answer by stanbon(57424)

Question 143962: 6x^2 + 10x = -2
Click here to see answer by nabla(475)

Question 143960: i cant figure this out....
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Question 143967: 3m^2 + 8m + 2 =0
Click here to see answer by nabla(475)

Question 144038: How do I solve 5 square root 20 + 3 square root 98 - 2 square root 45 + the square root of 1\5.
Click here to see answer by edjones(7569)

Question 144153: Can you please help me solve this expression:
Click here to see answer by jim_thompson5910(28598)

Question 144154: Can you please help me solve this expression:

Click here to see answer by Alan3354(30993)

Question 144154: Can you please help me solve this expression:

Click here to see answer by jim_thompson5910(28598)

Question 144151: Can you please help me solve this expression:
This can't be solved, only simplified as 3(3xy)+2(3xy), or 5((3xy), which is 15xy.
Click here to see answer by Alan3354(30993)

Question 144143: Hello. Please help me solve this problem: I need to find the simplest radical form and the approximate answer of .

x = 0.8944

Click here to see answer by Alan3354(30993)

Question 144147: Please help solve this problem: I need to find the answer of the radical by first rationalizing the denominator, I got an answer but just wanted to make sure I have it correct:

Click here to see answer by edjones(7569)

Question 144231: How do you simplify this equation: √[81x^12y^8z^10]
What I did was the sq root of 81, which is 9 but i'm not sure about the exponents part.

Click here to see answer by Earlsdon(6291)

Question 144232: Perform the indicated operations:
2√[48] + 7√[12] –√[27]
I have no clue how to even start this one..
Click here to see answer by scott8148(6628)

Question 144232: Perform the indicated operations:
2√[48] + 7√[12] –√[27]
I have no clue how to even start this one..
Click here to see answer by Earlsdon(6291)

Question 144232: Perform the indicated operations:
2√[48] + 7√[12] –√[27]
I have no clue how to even start this one..
Click here to see answer by stanbon(57424)

Question 144230: I need help mulitplying this: (√[6] + 2√[2])(4√[6] – 3√[2])

Click here to see answer by jim_thompson5910(28598)

Question 144246: 2x^2 – 12x + 18 divided by 2x^2 – 18
I need to simpliy this. The answer I have is: -12x + 18 divided by -18. Is this correct?
You can divide both by 2, giving

If you divide it, you get 1 with a remainder of -6x+18.

Click here to see answer by Alan3354(30993)

Question 144248: __2____
√[3] + √[2]
Rationalize the demominator?

Click here to see answer by solver91311(16897)

Question 144309: 2 radical 6-radical 6
Click here to see answer by hawkeye4077(2)

Question 144316: Perfect square trinomials
find the term that should be added to the expression to create a perfect square trinomial.
x to the power of 2 minus 12x
Click here to see answer by stanbon(57424)

Question 144424: Please help me simplify (all of this is in a square root) X to the 5 divided by 45
Click here to see answer by Alan3354(30993)

Question 144547: Thank you in advance for helping me with this equation. sqrt(-2x-7) + sqrt(x+9)= sqrt(8-x)
Click here to see answer by jim_thompson5910(28598)

Question 144597: Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers:
sqrt(50a^2b)
Thank you for your help!
Click here to see answer by ankor@dixie-net.com(15667)

Question 144589: Subtract. simplify by collecting like radical terms if possible
4sqrt27 - 4sqrt3

Thank you so very much~
Click here to see answer by checkley77(12569)

Question 144588: Simplify by taking roots of the numerator and denominator. Assume that all expressions under radicals represent positive numbers.
^3sqrt((1000x^5)/(y^3))
Thank you so very much~
Click here to see answer by ankor@dixie-net.com(15667)

Question 144587: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers:
(sqrt(r) - sqrt(s))/(sqrt(r)+sqrt(s))
Thank you so very much~
Click here to see answer by nabla(475)

Question 144748: how do you find the missing side length of the right triangle if a and b are the length of the legs and c is the length of the hypotenuse?
Click here to see answer by vleith(2825)

Question 144808: When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the problem is the variable for R (which is 0.723 Astronomical Units). When I replace the R with that factor. How can I solve the equation. I tried setting it equal to 0 but that is going to make the answer 0. In case you cannot find the problem, I am indicating it here:
#108) If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venuis to complete one orbit of the sun? Use the information in Exercise 107
FOR REFERENCE #107)Kepler's third law.
According to Kepler's third law of planetary motion, the ration T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun.
Click here to see answer by Earlsdon(6291)

Question 144809: When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the problem is the variable for R (which is 0.723 Astronomical Units). When I replace the R with that factor. How can I solve the equation. I tried setting it equal to 0 but that is going to make the answer 0. In case you cannot find the problem, I am indicating it here:
#108) If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venuis to complete one orbit of the sun? Use the information in Exercise 107
FOR REFERENCE #107)Kepler's third law.
According to Kepler's third law of planetary motion, the ration T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun.
Click here to see answer by MathLover1(6649)

Question 144805: When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the problem is the variable for R (which is 0.723 Astronomical Units). When I replace the R with that factor. How can I solve the equation. I tried setting it equal to 0 but that is going to make the answer 0. In case you cannot find the problem, I am indicating it here:
#108) If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venuis to complete one orbit of the sun? Use the information in Exercise 107
FOR REFERENCE #107)Kepler's third law.
According to Kepler's third law of planetary motion, the ration T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun.
Click here to see answer by MathLover1(6649)

Question 142367: I just recently asked some questions on radicals and i wrote them all wrong so here is the right ones:
What is 3 times the square root of 5 times the square root of 5?
What is the square root of 8 times the square root of 12?
What is the square root of 3 divided by the square root of 8?
What is the square root of 4 divided by the square root of 5?
What is the square root of 5 divided by the square root of 12?
Can you please help me with them?
Thank you so much, Lauren.
Click here to see answer by MathLover1(6649)

Question 144844: what is the sqare root of 54x to the eighth
Click here to see answer by shahid(44)

Question 144844: what is the sqare root of 54x to the eighth
Click here to see answer by solver91311(16897)

Question 144947: I have problem finding the square please help?
Simplify, Assume all variables represent positive numbers.
problem #5 square root radical of 18x^2 y^3 thank you
Click here to see answer by nerdybill(6963)

Question 144901: 7 sqrt v^77
Click here to see answer by stanbon(57424)

Question 145099: please help??
it says solve by completing the square:
x^2+8x+3=0
x^2+4x+1=0
x^2-5x+=11
Click here to see answer by stanbon(57424)

Question 145099: please help??
it says solve by completing the square:
x^2+8x+3=0
x^2+4x+1=0
x^2-5x+=11
Click here to see answer by vleith(2825)

Question 145092: what are the standard forms to be used in the solution of the following equation by determinants
5x=2y+8
2x-26=-3y
Click here to see answer by solver91311(16897)

Question 145116: 1.
i am supposed to simplify this.
1/3 the square root of 24 minus 2 the square root of 2/3.
i dont know what to do.
2.
i am supposed to solve this.
the lenth of a rectangle is 2x width. the area is 64 cm squared. i need to find the dimensions and round to the nearest hundredth. I dont know what to do .
Please help

Click here to see answer by solver91311(16897)

Question 145134: Multiply
(2+5i)(2+3i)
(3-4i)^2
Click here to see answer by algebrapro18(206)

Question 145229: Homework Help
(2 + sqrt3)squared
The answer is 7 + 4sqrt3 but I don't know how they got the answer.
Click here to see answer by jim_thompson5910(28598)

Question 145228: Homework help needed -
sqrt 5a+ 2sqrt45acube
The answer in the back of the book is (1+6a)sqrt5a; however, I cannot get it to work out to this answer.
Click here to see answer by Alan3354(30993)

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