Question

Simplify. Assume that $x \geq 0$ $\sqrt[6]{8}$

   Simplify. Assume that $x \geq 0$
$\sqrt[6]{8}$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Margaret L. Lial,… 7th Edition

Chapter 10, Problem 106

Instant Answer

Solved by Expert Nick Johnson

02/11/2022

Step 1

We know that $8 = 2^3$, so we can rewrite the expression as $\sqrt[6]{2^3}$. Show more…

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Simplify. Assume that $x \geq 0$ $\sqrt[6]{8}$

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Key Concepts

Radical Expressions

Radical expressions involve roots, where the nth root of a number is the value that, when raised to the nth power, results in the original number. Understanding radicals is essential for rewriting and simplifying expressions by expressing the root as an exponent.

Fractional Exponents

Fractional exponents express roots as exponents. For example, the nth root of a number can be written as that number raised to the 1/n power. This representation allows the application of exponent rules to simplify expressions and solve equations more efficiently.

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