SOLUTION: I知 going crazy trying to figure this one out. 3 is the index with a radical sign and the radicand under it is x squared = 4 Can someone help me?

Algebra ->  Radicals -> SOLUTION: I知 going crazy trying to figure this one out. 3 is the index with a radical sign and the radicand under it is x squared = 4 Can someone help me?       Log On


   

Question 83175: I知 going crazy trying to figure this one out.

3 is the index with a radical sign and the radicand under it is x squared = 4

Can someone help me?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2Cx%5E2%29=4 This expression reads: "the cube root of x squared equals 4". When you have a cube root, and you want to undo it, you raise both sides to the 3rd power. This will eliminate the cube root

%28root%28cross%283%29%2Cx%5E2%29%29%5Ecross%283%29=%284%29%5E3 Cube both sides
x%5E2=%284%29%5E3

x%5E2=64 Cube 4 to get 64

sqrt%28x%5E2%29=sqrt%2864%29 Take the square root of both sides. This will undo the square
So this is your answer
which means
x=8 or x=-8