How do you simplify $3sqrt(x^8yz^7)$ ?

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Answer 1 · 2017-06-17T14:05:23

See a solution process below:

First, rewrite this expression as:

$3sqrt(x^8z^6 * yz)$

Next, use this rule for radicals to write the expression as:

$sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))$

$3sqrt(color(red)(x^8z^6) * color(blue)(yz)) => 3sqrt(color(red)(x^8z^6)) * sqrt(color(blue)(yz)) => 3x^4z^3sqrt(yz)$

How do you simplify 3sqrt(x^8yz^7)3sqrt(x^8yz^7)?