Simplify the following:$\sqrt[3] {23 \times 343}$

Given :

The given term is $\sqrt[3] {23 \times 343}$.

To do :

We have to evaluate the given expression.

Solution :

$\sqrt[3] {23 \times 343}$

We know that, $343 = 7 \times 7 \times 7 = 7^3$

So, $\sqrt[3] {23 \times 343} = \sqrt[3] {23 \times 7^3}$

$ = \sqrt[3] {23} \times \sqrt[3] {7^3}$

$ =  \sqrt[3] {23} \times 7$

$ = 7 \sqrt[3] {23}  $

Therefore, the value of $\sqrt[3] {23 \times 343}$ is $7 \sqrt[3] {23} $.

23×3433 sqrt[3]{23times 343}" role="presentation" style="position: relative;">23×343−−−−−−−√3$sqrt[3]{23times 343}$

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Updated on: 10-Oct-2022

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