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Q.

What is the value of the cube root 64 3 ?


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a

4

b

6

c

8

d

12 

answer is A.

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Detailed Solution

The given cube root is 64 3 .
Find prime factors of 64.
64 3 = 2×2×2×2×2×2 3
Make three groups of factors.
  2×2×2×2×2×2 3 = 2×2 2×2 2×2 3 = 2×2 3 3
Simplify to get the cube root.
64 3 = 2×2 3 3 = 4 3 3 =4
∴ 64 3 =4
Therefore, the value of the cube 64 3 =4. Hence, option (1) is correct.
 
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