Find the cube root of the following numbers. $-13824$.

Given: A number $-13824$.

To do: To find cube root of the number $-13824$.

Solution:  

Given number is $\sqrt[3]{-13824}$

$=\sqrt[3]{\underline{( -2)\times( -2)\times( -2)}\times\underline{( -2)\times( -2)\times( -2)}\times\underline{( -2)\times( -2)\times( -2)}\times\underline{3\times3\times3}}$

$=( -2)\times( -2)\times( -2)\times( -3)$

$=-24$

Thus, the cube root of the number $-13824$ is $-24$.

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Updated on: 10-Oct-2022

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