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Q.

Find out the cube root of 216


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a

8

b

4

c

9

d

6 

answer is D.

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Detailed Solution

Concept- An integer that may be written as the product of three identical or equal integers is known as a perfect cube. In other terms, a number whose cube root is an integer is a perfect cube. Another name for it is "cube number."
In mathematics a cube root of a number x is a number such that  y 3 =x         (1)
Now finding the cube root of the number by prime factorization. from the equation one  y 3 =216  
Prime factors of 216 are  = 2×2×2×3×3×3. Now assume three time repeating digits as one.as here by assuming each three as one we will get 2 and 3
Now, we should multiply these numbers.2×3 =6 which is the cube root of 216 as mentioned.
Hence, the correct answer is 4) 6
 
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Find out the cube root of 216