How do you simplify #sqrt8/sqrt7#?

1 Answer
Aug 12, 2016

Answer:

#(2sqrt14)/7#

Explanation:

It is not good maths practice to leave a radical in the denominator.

We can "rationalize the denominator" which means changing it from an irrational to a rational number.

#sqrt8/sqrt7 = sqrt8/sqrt7 xx sqrt7/sqrt7 " because "sqrt7/sqrt7 =1#

# sqrt8/sqrt7 xx sqrt7/sqrt7 = sqrt(8xx7)/7 " "sqrt7^2 =7#

=#sqrt(2xx2xx2xx7) /7#

=#(2sqrt14)/7#