What is the square root of 5 times the square root of 10?

1 Answer
Alan P.
Sep 10, 2015

#sqrt(5)*sqrt(10) = 5sqrt(2)#
(assuming only primary roots; otherwise #-5sqrt(2)# is a secondary answer)

Explanation:

#sqrt(5)*color(red)(sqrt(10))#
#color(white)("XXX")= sqrt(5)*color(red)(sqrt(5)*sqrt(2))#

#color(white)("XXX")= color(blue)(sqrt(5)*sqrt(5))*sqrt(2)#

#color(white)("XXX")=color(blue)(5)sqrt(2)#

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