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Chapter 0: Problem 37

Add or subtract terms whenever possible. $$\sqrt{8}+3 \sqrt{2}$$

Short Answer

Expert verified
The simplified form of \(\sqrt{8} + 3\sqrt{2}\) is \(5\sqrt{2}\)

Step by step solution

01

Simplify the square root of 8

First, factor the number under the square root into a product of a perfect square and another number. That is, \(\sqrt{8}\) equals \(\sqrt{4*2}\) which simplifies to \(2\sqrt{2}\).
02

Combine like terms

Now, with \(\sqrt{8}\) simplified to \(2\sqrt{2}\), we add this to our other term. Combine \(2\sqrt{2}\) with \(3\sqrt{2}\) to get \(5\sqrt{2}\).

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