How do you simplify $xsqrt(32x) + sqrt(128x)^3$ ?

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Answer 1 · 2015-04-01T00:56:19

We allways try to take squares out of the root.

You may have noticed that $32=2*16=2*4^2$
And that $128=2*64=2*8^2$
And that $x^3=x*x^2$

If we take these squares out, we get:

$xsqrt(32x)+sqrt(128x^3)=$

$4xsqrt(2x)+8xsqrt(2x)=$

$12sqrt(2x)$

How do you simplify xsqrt(32x) + sqrt(128x)^3xsqrt(32x) + sqrt(128x)^3?