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Cube Root Using Prime Factorisation

Evaluate √3...

Question

Evaluate $\sqrt[3]{343}$ .

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Solution

$\sqrt[3]{343}$

$\sqrt[3]{7 \times 7 \times 7} = 7$

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Evaluate :
$\sqrt[3]{343}$

\sqrt[3]{\frac{- 512}{343}}

\sqrt[3]{216 \times (- 343)}

.

\frac{^{3} \sqrt{- 125 \times 343}}{^{3} \sqrt{(- 27)} \times (- 64)}

Q. Evaluate the following

\sqrt[3]{\frac{- 512}{343}}

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