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How do you simplify ( 2 square root x) ( 5 square root x^3 )?

1 Answer

Sep 30, 2015

#10x^2#

Explanation:

#(2sqrtx)(5sqrt(x^3))#

Since both factors have the same index (2), you can combine them into one radical symbol.

#(2sqrtx)(5sqrt(x^3))#
#=(2*5)*sqrt(x*x^3)#
#=10*sqrt(x^4)#
#=10sqrt(x^2*x^2)#
#=color(red)(10x^2)#

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