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Q.

State True/False:


The cube root of the number 15625 by prime factorization method will be 15.


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a

True

b

False 

answer is B.

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Detailed Solution

We have to check if the cube root of 15625=15.
Calculating the prime factors of the number:
15625=5×5×5×5×5×5  
Now, forming factors as a group of three:
Group 1= 5×5×5  
Group 2= 5×5×5  
Cube root = 5×5  
Cube root = 25
Since the cube root of the number 15625 by prime factorization method will be 25.
Thus, the given statement is false.
Therefore, option 2 is correct.
 
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