Question

Simplify [5(8^1/3+27^1/3]^1/4

Answer 1

Answer:

$\sqrt{5}$

Step-by-step explanation:

${(5( {8}^{ \frac{1}{3}} + {27}^{ \frac{1}{3} })) }^{ \frac{1}{4} } \\ \\ {(5( {( {2}^{3} )}^{ \frac{1}{3}} + {( {3}^{3} )}^{ \frac{1}{3} })) }^{ \frac{1}{4} } \\ \\ {(5(2 + 3))}^{ \frac{1}{4} } \\ \\ {( {5}^{2}) }^{ \frac{1}{4} } \\ \\ {5}^{ \frac{1}{2} } \\ \\ \sqrt{5} \\ \\ formulae \\ \\ {( {x}^{a}) }^{b} = {x}^{a \times b} \\ \\ {x}^{ab}$

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