Simplify - 13-23-33 1-2

( 1 ^ 3 + 2 ^ 3 + 3 ^ 3 ) ^ 1 / 2 nbsp; =( 1 +8+27 ) ^ 1 / 2 nbsp; =( 36 ) ^ 1 / 2 nbsp; =√( 36 ) =6 ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Identities

Simplify : ...

Question

Simplify :
${(1^{3} + 2^{3} + 3^{3})}^{\frac{1}{2}}$

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Solution

${(1^{3} + 2^{3} + 3^{3})}^{\frac{1}{2}}$
$= {(1 + 8 + 27)}^{\frac{1}{2}}$
$= {(36)}^{\frac{1}{2}}$
$= \sqrt{36}$
$= 6$

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Simplify :(13+23+33)12

(13+23+33)12=(1+8+27)12=(36)12=√36=6

Simplify :
${(1^{3} + 2^{3} + 3^{3})}^{\frac{1}{2}}$

${(1^{3} + 2^{3} + 3^{3})}^{\frac{1}{2}}$
$= {(1 + 8 + 27)}^{\frac{1}{2}}$
$= {(36)}^{\frac{1}{2}}$
$= \sqrt{36}$
$= 6$