preform the indicated operation. Be sure to rationalize the denominator when necessary. make sure to simplify as much as possible and give the exacr answer.

Question

4 square root of 2 + 6 square root of 2

Answer 1

To perform the indicated operation, you simply combine the terms that contain the square root of 2.

The expression is:

\[ 4\sqrt{2} + 6\sqrt{2} \]

Since both terms have the same radical, you can add the coefficients:

\[ (4 + 6)\sqrt{2} = 10\sqrt{2} \]

So, the simplified answer is:

\[ 10\sqrt{2} \]