How do you simplify sqrt(24/26)?

1 Answer
Mar 18, 2018

(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