Which of the following gives 25 as a result of simplification?

(625)^{1 / 2}

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\sqrt[3]{125^{2}}

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(512)^{- 2 / 3}

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(25)^{0}

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Solution

The correct options are
A $(625)^{1 / 2}$
B $\sqrt[3]{125^{2}}$
The options which gives 25 as result are:
$\Rightarrow$ Option A : $(625)^{1 / 2} = \sqrt{625} = 25$

$\Rightarrow$ Option B : $\sqrt[3]{125^{2}} = \sqrt[3]{15625} = 25$

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