# 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#