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

Algebra ->  Radicals -> 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       Log On


   

Question 479289: Hi. Here is the problem I'm stuck on. The math problem says to simplify the expression.
+sqrt+864x%5E2+
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) About Me  (Show Source):
Answer by Theo(13342) About Me  (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)