How do you simplify $sqrt(-81x^6)$ ?

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Answer 1 · 2016-02-22T11:17:14

First you factorize the argument and get any squares out.
Remember $sqrt(a*b)=sqrta*sqrtb$

$=sqrt(-1*9^2*(x^3)^2)$
$=sqrt(-1)*sqrt(9^2)*sqrt((x^3)^2)$

$=i*9*x^3=9x^3i$

How do you simplify sqrt(-81x^6)sqrt(-81x^6)?