The value of(8–√)13 is = ?The value of(8)13 is = ?\eqalign{ & {\text{The value of}} \cr & {\left( {\sqrt 8 } \right)^{\frac{1}{3}}}{\text{ is = ?}} \cr} " /> The value of(8–√)13 is = ?The value of(8)13 is = ?\eqalign{ & {\text{The value of}} \cr & {\left( {\sqrt 8 } \right)^{\frac{1}{3}}}{\text{ is = ?}} \cr} " /> The value of(8–√)13 is = ?The value of(8)13 is = ?\eqalign{ & {\text{The value of}} \cr & {\left( {\sqrt 8 } \right)^{\frac{1}{3}}}{\text{ is = ?}} \cr} " />

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$\begin{aligned} The value of \\ {(\sqrt{8})}^{\frac{1}{3}} is = ? \end{aligned}$ $\eqalign{ & {\text{The value of}} \cr & {\left( {\sqrt 8 } \right)^{\frac{1}{3}}}{\text{ is = ?}} \cr}$

12
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3√2
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Answer:- 1

Explanation:-

Solution:

\begin{aligned} {(\sqrt{8})}^{\frac{1}{3}} \\ = {(8^{\frac{1}{2}})}^{\frac{1}{3}} \\ = 8^{(\frac{1}{2} \times \frac{1}{3})} \\ = 8^{\frac{1}{6}} \\ = {(2^{3})}^{\frac{1}{6}} \\ = 2^{(3 \times \frac{1}{6})} \\ = 2^{\frac{1}{2}} \\ = \sqrt{2} \end{aligned}

$\eqalign{ & {\left( {\sqrt 8 } \right)^{\frac{1}{3}}} \cr & = {\left( {{8^{\frac{1}{2}}}} \right)^{\frac{1}{3}}} \cr & = {8^{\left( {\frac{1}{2} \times \frac{1}{3}} \right)}} \cr & = {8^{\frac{1}{6}}} \cr & = {\left( {{2^3}} \right)^{\frac{1}{6}}} \cr & = {2^{\left( {3 \times \frac{1}{6}} \right)}} \cr & = {2^{\frac{1}{2}}} \cr & = \sqrt 2 \cr}$

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", "text": "

\begin{aligned} The value of \\ {(\sqrt{8})}^{\frac{1}{3}} is  =  ? \end{aligned}

$\eqalign{ & {\text{The value of}} \cr & {\left( {\sqrt 8 } \right)^{\frac{1}{3}}}{\text{ is = ?}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution: