Question

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

Answer 1

Answer:

$3 \sqrt{2}$

Step-by-step explanation:

$-3 \sqrt{2} + 3 \sqrt{8} =$

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.

$= -3 \sqrt{2} + 3 \sqrt{4 \times 2}$

$= -3 \sqrt{2} + 3\sqrt{4} \times \sqrt{2}$

$= -3 \sqrt{2} + 3 \times 2 \times \sqrt{2}$

$= -3 \sqrt{2} + 6 \sqrt{2}$

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

$= 3 \sqrt{2}$