Question

Simplify each expression. $$ \sqrt{8}+3 \sqrt{2} $$

   Simplify each expression.
$$
\sqrt{8}+3 \sqrt{2}
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 10, Problem 57

Instant Answer

Solved by Expert Julie Silva

04/03/2020

Step 1

We can do this by finding the perfect square that goes into 8, which is 4. So, we rewrite $\sqrt{8}$ as $\sqrt{4 \times 2}$. $$ \sqrt{8}+3 \sqrt{2} = \sqrt{4 \times 2}+3 \sqrt{2} $$ Show more…

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Simplify each expression. $$ \sqrt{8}+3 \sqrt{2} $$

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Key Concepts

Simplifying Radicals

This concept involves rewriting square roots by factoring the radicand into a product that includes a perfect square. By extracting the square root of the perfect square, the radical expression becomes simpler. For example, this technique allows you to rewrite expressions like ?8 as 2?2.

Combining Like Terms

In algebra, like terms are expressions that have identical radical parts and can be combined through addition or subtraction. When radical expressions with the same radicand are added together, only the coefficients change, making it efficient to simplify the overall expression.

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