How do you simplify #4sqrt(32x^8 y^3 z^10)#?

1 Answer
Carl S.
Apr 13, 2018

#16sqrt2 x^4y^1.5z^5#

Explanation:

Rewrite #32# as #2^5# and #4# as #2^2# to more easily group numbers together.

#2^2sqrt{2^5 x^8y^3z^{10}}#

The square root will halve all of the powers of the factors inside the radical.

#2^2times2^2.5 x^4y^1.5z^5#

#2^4.5 x^4y^1.5z^5#

#16sqrt2 x^4y^1.5z^5#

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