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What is the cube root of $− 64 343$ ?

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47

− 4 7

87

− 8 7

answer is B.

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Detailed Solution

The given number is

− 64 343 .

Find the prime factorization of 64 and 343.

7343749771

Prime factorization of 64 =

2 × 2 × 2 × 2 × 2 × 2.

Prime factorization of 343 =

7 × 7 × 7.

Find the cube root by grouping all the factors.
Question Image

∴ − 64 343 3 = − 4 7

Therefore, the cube root of

− 64 343

− 4 7 .

Hence, option (2) is correct.

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