3433 By prime factorisation: 343 = 7 #215;7 #215;7 nbsp; nbsp; nbsp; nbsp; nbsp; = ( 7 #215;7 #215;7 ) there4; 3433=733=7 ...

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Factors of Natural Numbers

Evaluate:3433

Question

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

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Solution

$\sqrt[3]{343}$
By prime factorisation:
343 = $7 \times 7 \times 7$
= ( $7 \times 7 \times 7$ )

∴ $\sqrt[3]{343} = \sqrt[3]{7^{3}} = 7$

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