SOLUTION: Hi. Here is the problem I'm stuck on. The math problem says to simplify the expression. {{{ sqrt 864x^2 }}} I know the square root of 864 is 12 sqrt 6, but I don't know what

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Question 479289: Hi. Here is the problem I'm stuck on. The math problem says to simplify the expression.

I know the square root of 864 is 12 sqrt 6, but I don't know what to do with the x^2.

Found 2 solutions by MathLover1, Theo:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
you want to simplify sqrt(864*x^2)
the x^2 under the square root can be taken out from under the square root sign by taking the square root of it.
since the square root of x^2 is equal to x, your equation then becomes:
x*sqrt(864)
since 864 is equal to 6*144 and 144 is a perfect square, you can bring it out from under the square root sign by taking the square root of it, as you did.
you are left with:
x * 12 * sqrt(6)
your answer is:
12x*sqrt(6)

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