How do you simplify #5sqrt2(7/10)#?

1 Answer
Sep 16, 2015

# 7sqrt(2)/2 #

Explanation:

First, we cancel off 5 and 10,
since they shared the same common factor (5).

#5xx1=5#
#5xx2=10#

#cancel(5)1sqrt2(7/(cancel(10)2))#

Rearrange;

#sqrt(2)xx(7/2)=7sqrt(2)/2 #

Note that 1 is negligible
since anything multiply with 1 we get the same answer.

Thank you. Hope it help.