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Find cube root of $343$ .

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Cube roots of positive and negative perfect cubes

Full solution

Q. Find cube root of

343

.

Express as cube: Step $1$ : Express $343$ as a cube of a number. $7 \times 7 \times 7 = 343$ , so $343$ can be written as $7^3$ .
Calculate cube root: Step $2$ : Calculate the cube root of $343$ . $\newline$ $\sqrt[3]{343} = \sqrt[3]{7^3}$ $\newline$ Since the cube and cube root cancel each other out, $\sqrt[3]{343} = 7$ .

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