Question

How do you simplify `sqrt8/sqrt7`?

Answer 1

`(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`