How do you simplify #8/sqrt2#?

1 Answer
Feb 19, 2016

# 4sqrt2#

Explanation:

A simplified version will be of the form #asqrtb " where a is a rational number"#

Note : # sqrta xx sqrta = a : "example" sqrt100 xx sqrt100 = 10 xx 10 = 100#

To simplify this expression multiply numerator and denominator by #sqrt2 #

hence #( 8sqrt2)/(sqrt2 xx sqrt2)=( 8sqrt2)/2 = 4sqrt2#