Question

Combine these things :/ 5 Times Sqrt 27 - 17 Times Sqrt 3

Please explain and thank you :P

Answer 1

`-2 √(3)`

Explanation:

Given

`5 * √(27) - 17 * √(3)`

Required

Combine both

`5 * √(27) - 17 * √(3)`

Express 27 as 9 * 3

`5 * √(9 * 3) - 17 * √(3)`

Split:

`5 * √(9) * √(3) - 17 * √(3)`

`5 * 3 * √(3) - 17 * √(3)`

`15 * √(3) - 17 * √(3)`

`15 √(3) - 17 √(3)`

`-2 √(3)`