Add and Subtract Radicals Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Add 2√8+3√8
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Answer 1

To add the radicals \( 2\sqrt{8} + 3\sqrt{8} \), you can combine like terms since they both have \(\sqrt{8}\).

1. Start by adding the coefficients: \( 2 + 3 = 5 \)

2. So, you can write: \[ 2\sqrt{8} + 3\sqrt{8} = 5\sqrt{8} \]

3. If you want to simplify \(\sqrt{8}\), you can express it as: \[ \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4}\sqrt{2} = 2\sqrt{2} \]

4. Now substitute back into the expression: \[ 5\sqrt{8} = 5 \cdot 2\sqrt{2} = 10\sqrt{2} \]

So, \( 2\sqrt{8} + 3\sqrt{8} = 10\sqrt{2} \).