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

Tutors Answer Your Questions about Radicals (FREE)

Question 38245: How do you solve 3 radical sign 32 minus 4 radical sign 63
Click here to see answer by fractalier(2101)

Question 38242: Find the following product and express answer in simplest radical form. All variables represent non negative real numbers.
((SQRT of 17a) + (SQRT of 7y))((SQRT of 17a)-(SQRT of 7y))
Click here to see answer by fractalier(2101)

Question 38471: The base of a triangle is (c+2) ft and the area is (2c*c-8) ft*ft. What is the height?
Click here to see answer by Nate(3500)

Question 38515: Simplify the following radical expressions. Show all work!
I dont understand the method to use to solve the problem.
(squareroot 7+5)squared
Click here to see answer by Alwayscheerful(414)

Question 38556: 32. Find all real or imaginary solutions.
9y^2 + 16 = 0
36. Show a complete solution.
Two positive number differ by 11, and their square roots differ by 1. Find the numbers.

Click here to see answer by lyra(94)

Question 38572: 36. Show a complete solution.
Two positive numbers differ by 11, and their square roots differ by 1. Find the numbers.

Click here to see answer by fractalier(2101)

Question 38572: 36. Show a complete solution.
Two positive numbers differ by 11, and their square roots differ by 1. Find the numbers.

Click here to see answer by AnlytcPhil(1277)

Question 38644: I have a homework problem i cant seem to figure out. I need to perform the operation, write the answer without negative exponents. Assume all variables represent positive numbers.
(27a^3b)^-1/3(9a^-2b^2)^-1/2
Can anyone please help me with this, and show me in detail to break it down to get the answer :)
Thanks
Click here to see answer by Nate(3500)

Question 38666: A right triangle has its vertical side equal to 7, while the horizontal base is equal to 10 in length. Find the length x of the third side. Round your answer to the nearest tenth.
Click here to see answer by checkley71(8403)

Question 38668: Solve the equation (w-3)^2 minus 36 = 0 where w is a real number. Simplify your answer as much as possible.
Click here to see answer by checkley71(8403)

Question 38661: Rewrite the following in simplified radical form:
Square root of 27z^6
Click here to see answer by checkley71(8403)

Question 38819: This is a question on my Algebra Homework. I can't understand how to figure it out. My original answer was "-13xthe square root of 2. My teacher told me that was wrong. Can you help me FAST with the answer to 3x(the square root of)2-7x(the square root of)9+5x(the square root of)2. Thank You for your help
Click here to see answer by Nate(3500)

Question 38912: (3radical a - 2 radical b) (3radical + 2radical b)
Click here to see answer by fractalier(2101)

Question 38914: x+2/x + 1/3 = 2
Click here to see answer by fractalier(2101)

Question 38944: Solve this problem please. 5 radical 6 minus 1 all over 5 and i was wondering if you could simplify any. Thank You!
Click here to see answer by fractalier(2101)

Question 38970: Hi,can you please explain in detail and help solve these?
X:9^x=3
x:2^9x-4=32
4 ___
Express as a product: log 3 /x
Thank you so much!
Jackee
Click here to see answer by stanbon(57347)

Question 38983: I was wondering if you could simplify this problem any more. 5 radical 6 minus 5 all over 5. Please e-mail back a simplified answer ASAP. thank you!
I was also wondering if there are two consecutive even interegers whose sum is 84. Thank You also!
Click here to see answer by Nate(3500)

Question 38973: Okay, I am so lost. Please help me with these?
Write as the sum or difference of a single logarithms of x,y and z:
__
log 8{(3x^3/y ) /z^5 }
and
Solve for x: log10^7=log 10^x-log10^2

Please help me in detail so I can understand these?
Thank you.

Click here to see answer by Nate(3500)

Question 39062: 1.-4 radical 5 - 3 radical 64 - 7 radical 45

Click here to see answer by stanbon(57347)

Question 39076: Divide, rationalize denominator if necessary then simplify.

Click here to see answer by sdmmadam@yahoo.com(530)

Question 39075: Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression.

Click here to see answer by sdmmadam@yahoo.com(530)

Question 39073: I do not understand - please help!!

That is 18 plus the square root of 567 over 9.
Thanks!
Click here to see answer by fractalier(2101)

Question 39069: Please help!

I hope I typed this in correctly!
Click here to see answer by fractalier(2101)

Question 39093: 4x(squared) - 17x + 4 = 0
Solved by completing the square. Not sure what to do with the coefficient 4
Click here to see answer by fractalier(2101)

Question 39133: i'm glad i found you guys. i need some help solving 3x(x=4)=0. Can I get a step-by-step? Thanks :^)
Click here to see answer by fractalier(2101)

Question 39139: Could you help me rewrite the expression 2sqrt3+sqrt2/sqrt3-sqrt2 so there are no radicals in the denominator? I guess we could say rationalize the denominator. Thank you so much.
Click here to see answer by fractalier(2101)

Question 38663: Simplify the following expression as much as possible:
3 square root of 48 x square root of 12
Click here to see answer by fractalier(2101)

Question 39148: I need help with this. Simplify the expression Simplify the expression. __ __ _ Ö63 - 2Ö28 + 5Ö7

Click here to see answer by Nate(3500)

Question 39148: I need help with this. Simplify the expression Simplify the expression. __ __ _ Ö63 - 2Ö28 + 5Ö7

Click here to see answer by AnlytcPhil(1277)

Question 39147: Please help with this.
Find the time required for an object to fall to the ground from a building that is 1400 ft. high using the formula
t = 1/4 sqrt s in which s is the distance fallen.
Click here to see answer by Nate(3500)

Question 38660: Rewrite the following in simplified radical form.
square root of 32
Click here to see answer by fractalier(2101)

Question 39166: How do you solve 3 over the square root of 48
Click here to see answer by checkley71(8403)

Question 39193: The access ramp to an expressway is 850 feet long. The measure of the angle of elevation is 4 degrees.About how long is the expressway from the horizontal at the beginning of the ramp?
Click here to see answer by Nate(3500)

Question 39239: Please help me with this.
Find the perimeter of the triangle if the three sides are:
4, sqrt 5 - sqrt 5, sqrt 5 + sqrt 5
Thanks
Click here to see answer by AnlytcPhil(1277)

Question 39240: If one side of a rectangle is sqrt 3 + sqrt 5, and the second side is sqrt 3 + sqrt 5, find the area of the rectangle.
Thanks
Click here to see answer by fractalier(2101)

Question 39269: Please help me solve
Click here to see answer by fractalier(2101)

Question 37027: I need to multiply this, cant seem to work it out. Please help me

(5√[2] + 3)(√[2] - 2√[3])
Click here to see answer by fractalier(2101)

Question 39329: I posted this earlier incorrectly!
Find the perimeter of the triangle if one side is 4, one side is sqrt 5 + sqrt 3, and the third side is sqrt 5 - sqrt 3.
Thanks again!
Click here to see answer by Nate(3500)

Question 39357: I found a problem in a text book, but I wanted to know if I was correct in determining that there was no solution to the problem.
The problem is the cuber root of X=x-6; the book I found stated that the answer was 8, but I have tried every approach to solve this problem and maybe I am missing a step.
I tried to take the difference of two cubes and set the equation equal to zero, but that didn't work. I also expanded the equation and set it equal to zero, but that didn't work either. I don't know how they came up with the answer 8, but I hope you can help.
Click here to see answer by stanbon(57347)

Question 39373: Rationalize the denominator of each radical expression. Assume all variables represent nonnegative numbers and that no denominitors are 0.

1 + Square root 3
__________________
3 Square root of 5 + 2 Square Root 3
Click here to see answer by Nate(3500)

Question 39381: Perform all indicated operations and write each answer with positive intgers exponents.
-1
(m + n)
____________
-2 -2
m - n
Click here to see answer by longjonsilver(2297)

Question 39417: The square root of 2x +3 =11
Click here to see answer by fractalier(2101)

Question 39416: The square root of 18 divided by the square root of 6
Click here to see answer by fractalier(2101)

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