Question

Simplify

Sqrt 3 ( sqrt 6 + sqrt 15)

Pls explain how u did it!

Answer 1

Answer:

$= 3 (\sqrt{2}  +\sqrt{5})$

Step-by-step explanation:

$\sqrt{3} (\sqrt{6}*\sqrt{15}  )$

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

$\\ \sqrt{3} (\sqrt{2}\sqrt{3}  +\sqrt{5} \sqrt{3} )\\= \sqrt{3} ((\sqrt{2}  +\sqrt{5}) \sqrt{3} )\\= \sqrt{3} (\sqrt{3}) (\sqrt{2}  +\sqrt{5}) \)\\= 3 (\sqrt{2}  +\sqrt{5})$

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