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Q.

The cube root of −64 125 is ____.


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Detailed Solution

The cube root of −64 125 is −4 5 .
The given number is −64 125 .
Find the prime factorization of 64 and 125.
2   16 2   8 2   4 2   2     1                  5 125 5 25 5 5 1   Prime factorization of 64 = 2×2×2×2×2×2.
Prime factorization of 125 = 5×5×5.
Find the cube root by grouping the prime factors.
Question Image  Question ImageQuestion Image Question Image ∴ −64 125 3 = −4 5
Therefore, the cube root of −64 125 is −4 5 .
 
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