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How do you multiply the square root of 5 times the square root of 125?

1 Answer

Sep 21, 2015

25

Explanation:

You can multiply them together because their radicals have the same index (2).

#sqrt5*sqrt125#
#=sqrt(5*125)#
#=sqrt(625)#
#=25#

OR

You can try writing 125 as #5^3# instead.

#sqrt5*sqrt125#
#=sqrt5*sqrt(5^3)#
#=sqrt(5*5^3)#
#=sqrt(5^4)#
#=5^2#
#=25#

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