Question

How do you simplify `sqrt(24/26)`?

Answer 1

`(2sqrt39)/13`

Explanation:

Rationalise the denominator:
`(sqrt24 * sqrt26)/(sqrt26 * sqrt26) = sqrt624 / 26`
Simplify the numerator into `xsqrty` form and simplify:
`sqrt624 = sqrt39 * sqrt16 = 4sqrt39`
`(4sqrt39) / 26 = (cancel(4)sqrt39) / cancel(26)`
`(2sqrt39)/13`