Question

-3 square root of 2 + 3 square root of 8

Answer 1

`3 √(2)`

Explanation:

`-3 √(2) + 3 √(8) =`

To add or subtract square roots, you must be taking the square roots of the same number. We need to change square root of 8 into a number times square root of 2.

`= -3 √(2) + 3 √(4 * 2)`

`= -3 √(2) + 3√(4) * √(2)`

`= -3 √(2) + 3 * 2 * √(2)`

`= -3 √(2) + 6 √(2)`

Now that we have two square roots of 2, we add them like we add like terms.

`= 3 √(2)`