Question

How do you simplify `(15sqrt6)/(3sqrt5)`?

Answer 1

see below

Explanation:

We have,`frac{15sqrt(6)}{3sqrt(2)`
expressing 15 as `sqrt(5)xxsqrt(5)xx3xxsqrt(6)` ,
`frac{sqrt(5)xxsqrt(5)xx sqrt(6)xx3 }{3xxsqrt(5)`
cancelling out the common terms,we get,

`sqrt(5)xxsqrt(6)` which is `sqrt(30)`