SOLUTION: Hello, I was reviewing radicals for a test tomorrow and had trouble with one question on the bonus worksheet. It was..... √16x^2 This would be a simple problem, but I'

Algebra ->  Radicals -> SOLUTION: Hello, I was reviewing radicals for a test tomorrow and had trouble with one question on the bonus worksheet. It was..... √16x^2 This would be a simple problem, but I'      Log On


   

Question 540355: Hello, I was reviewing radicals for a test tomorrow and had trouble with one question on the bonus worksheet.
It was.....
√16x^2
This would be a simple problem, but I'm dreadful at factoring and cant remember what to do with the 16x^2 or how to solve it.
Thank you so much for your time, work, and effort!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since 16 = 4^2, this means that 16x^2 = 4^2*x^2 = (4x)^2


So the square root of 16x^2 is the same as the square root of (4x)^2


So the square and the square root effectively cancel out leaving just 4x


So √16x^2 = 4x where x is nonnegative


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