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Q.

State True/False:


The cube root of the number 10648 by prime factorization method will be 22.


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a

True

b

False 

answer is A.

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Detailed Solution

We have to check if the cube root of 10648=22.
Calculating the prime factors of the number:
10648=2×2×2×11×11×11  
Now, forming factors as a group of three:
Group 1= 2×2×2  
Group 2= 11×11×11  
Cube root = 2×11  
Cube root = 22
Hence, the given statement is true.
Therefore, option 1 is correct.
 
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