Question
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.
4 square root of 2 + 6 square root of 2
4 square root of 2 + 6 square root of 2
Answers
GPT-4o mini
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:
\[
10\sqrt{2}
\]
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:
\[
10\sqrt{2}
\]