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

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 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 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 hellyeah(21)

 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 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 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 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 checkley71(8403)

 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 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 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 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)