Question

How do you rationalize the denominator and simplify `1/sqrt7`?

Answer 1

`1/sqrt7=(1·sqrt7)/(sqrt7·sqrt7)=sqrt7/7`

Explanation:

In a fraction if we multiply and divide by the same number, the fraction doesn't varies. We choose `sqrt7` because we need to remove saquare root from denominator and we know that

`sqrta·sqrta=sqrt(a^2)=a` for whatever be `a in RR`