State True/False:

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

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True

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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