How do you simplify #sqrt(56z^7)#?

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Answer 1 · 2018-06-02T13:44:49

See a solution process below:

First, rewrite the expression as:

#sqrt(4z^6 * 14z)#

Now, use this rule for radicals to simplify the expression:

#sqrt(color(red)(4z^6) * color(blue)(14z)) =>#

#sqrt(color(red)(4z^6)) * sqrt(color(blue)(14z)) =>#

#2z^3 * sqrt(14z) =>#

#2z^3sqrt(14z)#