Question

How do you rationalize the denominator of `sqrt(7/8)`?

Answer 1

`(√14)/ 4`

Explanation:

Rewite as `(√7)/(√8)` to make it easier
The goal here is to find a number that will get rid of the square root in bottom and the best way to do that is just to multiply the bottom by itself.
`((√7)/(√8))*(√8)/(√8)`
`(√56)/(√64)`
`(√56)/8`
Simplify root:
`(√7*2*2*2)/8`
It's a square so take out any numbers that have pairs like two of the `2's` and multiply the rest inside to make `14`
`(2√14)/8`

reduce
`(√14)/ 4`