Evaluate the following: (5^2+12^2)^ 1 2 ^3 - Vidyadip

Question

Evaluate the following:
$\Big\{(5^2+12^2)^{\frac{1}{2}}\Big\}^3$

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Answer

To evaluate the value of the given expression, we can proceed as follows:
$\Big\{(5^2+12^2)^{\frac{1}{2}}\Big\}^3$
$=\Big\{(25+144)^{\frac{1}{2}}\Big\}^3$
$=\Big\{(169)^{\frac{1}{2}}\Big\}^3$
$=\Big\{\sqrt{(169)}\Big\}^3$
$=\Big\{\sqrt{(13\times13)}\Big\}^3$
$=\{13\}^3$
$13\times13\times13=2197$

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