How do you simplify $(9 sqrt(5x^2))/( 3 sqrt(2x^4))$ ?

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Answer 1 · 2016-02-21T12:32:11

Remember that $sqrt(x^2)=x$ and $x^4=x^2*x^2$
And that $sqrt(a*b)=sqrta*sqrtb$

$=(9*sqrt5*sqrt(x^2))/(3*sqrt2*sqrt(x^2)*sqrt(x^2))$

$=(cancel3*3*cancelx*sqrt5)/(cancel3*x*cancelx*sqrt2)$

$=(3sqrt5)/(xsqrt2)$

How do you simplify (9 sqrt(5x^2))/( 3 sqrt(2x^4))(9 sqrt(5x^2))/( 3 sqrt(2x^4))?