Question

How do you rationalize `sqrt(10/7)`?

Answer 1

The answer is `sqrt 70/7` .

Problem: Rationalize `sqrt(10/7)` .

`sqrt(10/7)=sqrt 10/sqrt 7`

Multiply the numerator and denominator times `sqrt 7`.

`sqrt 10/sqrt 7*sqrt 7/sqrt 7` =

`(sqrt 10sqrt 7)/7`

Simplify.

`sqrt 70/7`