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root(3)(343)=

$\sqrt[3]{343} =$

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Simplify radical expressions

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Q.

\sqrt[3]{343} =

Identify the cube root: Identify the cube root of $343$ . $\newline$ To find the cube root of $343$ , we need to find a number that, when multiplied by itself three times, gives $343$ .
Find the prime factors: Find the prime factors of $343$ . $\newline$ Prime factors of $343$ are $7 \times 7 \times 7$ , since $7 \times 7 = 49$ and $49 \times 7 = 343$ .
Express $343$ as a cube: Express $343$ as a cube of $7$ . $\newline$ Since $343$ is the product of three $7$ s, we can write it as $7^3$ .
Apply the cube root: Apply the cube root to the expression. $\newline$ The cube root of $7^3$ is the number that, when raised to the power of $3$ , gives $7^3$ . This number is $7$ .

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