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Q.

What is the cube root of −64 343 ?


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a

4 7

b

−4 7

c

8 7

d

−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.
Question Image 7 343 7 49 7 7 1   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  Question ImageQuestion Image    Question Image ∴ −64 343 3 = −4 7
Therefore, the cube root of −64 343 is −4 7 .
Hence, option (2) is correct.
 
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