Question

Simplify. square root 75 minus 4 times the square root 8 minus 3 times the square root of 32

negative 15 square root 5
negative 15 square root 6
5 square root 3 minus 20 square root 2
5 square root 3 plus 4 square root 2

Answer 1

So,


`√(75) - 4 √(8) - 3 √(32)`

Simplify the radicals.

`√(25) * √(3) - 4 * √(4) * √(2) - 3 * √(16) * √(2)`

`5 * √(3) - 4 * 2 * √(2) - 3 * 4 * √(2)`

`5√(3) - 8 * √(2) - 12 * √(2)`

`5√(3) - 8√(2) - 12√(2)`

`5√(3) - 20√(2)`

The correct answer is C.