Question

How do you simplify `sqrt(3v)(sqrt6+sqrt10)`?

Answer 1

`3 sqrt(2 v) + sqrt(30 v)`

Explanation:

We have: `sqrt(3 v) (sqrt(6) + sqrt(10))`

Let's expand the parentheses:

`= sqrt(3 v) cdot sqrt(6) + sqrt(3 v) cdot sqrt(10)`

`= sqrt(3 v cdot 6) + sqrt(3 v cdot 10)`

`= sqrt(18 v) + sqrt(30 v)`

`= 3 sqrt(2 v) + sqrt(30 v)`