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Q.

What is the value of the cube root 1728 3 ?


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a

8

b

12

c

14

d

16 

answer is B.

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Detailed Solution

The given cube root is 1728 3 .
Find prime factors of 1728.
1728 3 = 2×864 3 = 2×2×2×2×2×2×3×3×3 3
Make three groups of factors.
2×2×2×2×2×2×3×3×3 3 = 2×2×3 2×2×3 2×2×3 3 = 2×2×3 3 3
Simplify to get the cube root.
  1728 3 = 2×2×3 3 3 = 12 3 3 =12
∴ 1728 3 =12
Therefore, the value of the cube root 1728 3 =12. Hence, option (2) is correct.
 
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