Question

How do you simplify `7/sqrt7`?

Answer 1

See a solution process below:

Explanation:

To simplify this we need to rationalize the denominator. This means to eliminate the radical from the denominator by multiplying by the appropriate form of `1`:

`7/sqrt(7) => 7/sqrt(7) xx sqrt(7)/sqrt(7) => (7 xx sqrt(7))/(sqrt(7) xx sqrt(7)) => (7sqrt(7))/7 => sqrt(7)`

Answer 2

`sqrt7.`

Explanation:

`7/sqrt7 xx sqrt7/sqrt7`

`rArr (7sqrt7)/sqrt49`

`rArr (7sqrt7)/7`

`rArr (cancel7sqrt7)/cancel7`

`rArr sqrt7`