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How do you simplify #4sqrt(50x^5)#?

1 Answer

Sep 25, 2015

20#x^2sqrt(2x)#

Explanation:

Prime factors of 50 are 2 * 5 * 5
And #x^5# = #x^2 * x^2 * x#

Hence: #4sqrt(50x^5)# = #4sqrt(2 * 5 * 5 * x^2 * x^2 * x)#
Since #sqrt(5*5)# = 5 and #sqrt(x^2 * x^2)# = #x^2#

#4sqrt(50x^5)# = #4*5*x^2sqrt(2*x)#

= #20x^2sqrt(2x)#

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