Question

Simplify each expression. $$ 5 \sqrt{5}+\sqrt{5} $$

   Simplify each expression.
$$
5 \sqrt{5}+\sqrt{5}
$$

Algebra 2

Prentice Hall, Basia… 1st Edition

Chapter 8, Problem 62

Instant Answer

Solved by Expert Mariam Saleh-Esa

08/08/2019

Step 1

Here, $\sqrt{5}$ is a common term in both the terms. Show more…

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Simplify each expression. $$ 5 \sqrt{5}+\sqrt{5} $$

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Key Concepts

Combining Like Terms

This is the process of adding or subtracting coefficients of terms that have the same radical or variable parts. In the context of radicals, like terms are those that have the same radicand and index, allowing their coefficients to be directly added or subtracted.

Simplifying Radical Expressions

This concept involves rewriting expressions containing radical symbols in their simplest form. It includes recognizing when terms with radicals can be combined, and when radicals can be simplified by extracting factors that are perfect powers.

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