Question

=" \sqrt[4]{16} \times \sqrt[4]{64} " alt=" \sqrt[4]{16} \times \sqrt[4]{64} " align="absmiddle" class="latex-formula">
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Answer 1

The answer is:

$4\sqrt{2}$

Further explanation:

Given expression is a radical expression. Radical expressions involve fractional exponents.

Given:

$\sqrt[4]{16}\ *\ \sqrt[4]{64}$

Factorizing 16 and 64

$=\sqrt[4]{2*2*2*2}*\sqrt[4]{2*2*2*2*2*2}\\=\sqrt[4]{2^4} *\sqrt[4]{2^4*2^2}\\Can\ also\ be\ written\ as\\=\sqrt[4]{2^4} *\sqrt[4]{2^4}*\sqrt[4]{2^2}\\={(2^4)}^{\frac{1}{4}}*{(2^4)}^{\frac{1}{4}}*{(2^2)}^{\frac{1}{4}}\\=2*2*{(2)}^{\frac{1}{2} }\\=4*\sqrt{2}\\=4\sqrt{2}$

The answer is:

$4\sqrt{2}$

Keywords: Radical expressions, Square root

Learn more about radical expressions at:

• brainly.com/question/11286417
• brainly.com/question/11566221

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