SOLUTION: Solve for x: √(x-6)√(x-6) = 15 a. 225 b. 21 c. 231 d. no solution

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Question 152648: Solve for x: √(x-6)√(x-6) = 15
a. 225
b. 21
c. 231
d. no solution
Answer by mducky2(62) About Me  (Show Source):
You can put this solution on YOUR website!
It looks a lot harder than it is. Any time an equation has two square roots with the same thing under them, we can just multiply them together:
sqrt%28x-6%29%2Asqrt%28x-6%29+=+15
%28sqrt%28x-6%29%29%5E2+=+15
x-6=15

When you square the square root of anything, the square and the square root basically cancel each other out. Now it's a lot easier to solve:
x-6=15
x-6%2B6=15%2B6
x=21

Therefore, the answer is b.