Intermediate Algebra (12th Edition)

Published by Pearson

Chapter 7 - Section 7.2 - Rational Exponents - 7.2 Exercises: 40

Answer

$\sqrt 3$

Work Step by Step

We know that $a^{\frac{m}{n}}=\sqrt[n] a^{m}=\sqrt[n] (a)^{m}$, where all indicated roots are real numbers. Therefore, $3^{\frac{1}{2}}=\sqrt[2] (3^{1})=\sqrt 3$.

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