Question

How do you simplify `4/sqrt10`?

Answer 1

`4/sqrt 10=color(blue)(2sqrt 10)/color(blue)5`

Explanation:

Rationalize the denominator by multiplying the fraction by `sqrt 10/sqrt 10`.

`4/sqrt 10xxsqrt10/sqrt10`

Simplify.

`(4sqrt 10)/10`

Simplify.

`(2sqrt 10)/5`