Question

How do you rationalize the denominator and simplify `(5 sqrt 6) / sqrt 10`?

Answer 1

`sqrt 15`

Explanation:

given, `[5 sqrt 6]/sqrt 10`

`rArr [5 sqrt2 sqrt3]/[sqrt 2 sqrt 5`

`rArr [5sqrt 3] /sqrt5`

`rArr [sqrt 5 sqrt 5 sqrt 3]/sqrt 5`

`rArrsqrt 5 sqrt 3`

`rArrsqrt15`