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Q.

What is the value of cube root of 216 343    ?


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a

6 7  

b

7 8  

c

8 7  

d

6 5    

answer is A.

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Detailed Solution

The given number is 216 343  .
By applying prime factorization and grouping the factors in triple form, you can now describe the provided number as a product of prime factors.
  ⇒ 216 343 3 =  6×6×6 7×7×7 3 ⇒  6 3 7 3 3 ⇒ 6 7   The provided number is a perfect cube since it may be stated in triple form.
Hence, the value of 216 343 3   is 6 7  .
Therefore, option 1 is correct.
 
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