Question

How do you rationalize the denominator and simplify `sqrt2/sqrt5`?

Answer 1

`sqrt(10)/5`

Explanation:

Multiply by 1 and you do not change the inherent value. 1 can come in many forms. Foe example: `1=sqrt(5)/sqrt(5)`

Multiply by 1 but in the form of `1=sqrt(5)/sqrt(5)` giving

`sqrt(2)/(sqrt(5))xxsqrt(5)/sqrt(5)`

`=(sqrt(2)sqrt(5))/5`

`=(sqrt(2xx5))/5`

`sqrt(10)/5`