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Q.

Find the cube root of 175616 by prime factorization method.


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a

56

b

46

c

36

d

66 

answer is A.

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Detailed Solution

Given, number is 175616.
Now factorize it,
175616=2×2×2×2×2×2×2×2×2×7×7×7
175616=8×8×8×7×7×7
175616=83×73
Both sides take cube root as,
1756163=83×733
1756163=8×7
1756163=56
Thus, the cube root of 175616 is 56.
Hence, the correct option is 1.
 
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