Question

Simplify

Sqrt 3 ( sqrt 6 + sqrt 15)

Pls explain how u did it!

Answer 1

`= 3 (√(2)  +√(5))`

Explanation:

`√(3) (√(6)*√(15)  )`

When you have to simplify an expression, always try to find a common number, even if it isnt the solution to a problem is always a good strategy.

Here the 3 numbers are multiple of 3. So your first idea should be to do something with sqrt 3

`\\ √(3) (√(2)√(3)  +√(5) √(3) )\\= √(3) ((√(2)  +√(5)) √(3) )\\= √(3) (√(3)) (√(2)  +√(5)) \)\\= 3 (√(2)  +√(5))`

In this case it works, sometimes it doesnt, but its always a good start point