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State True/False:

The cube root of the number 512 by prime factorization method will be 8.

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True

False

answer is A.

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Detailed Solution

We have to check if the cube root of 512=8.
Calculating the prime factors of the number:

512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

Now, forming factors as a group of three:
Group 1=

2 × 2 × 2

Group 2=

2 × 2 × 2

Group 3=

2 × 2 × 2

Cube root =

2 × 2 × 2

Cube root = 8
Hence, the given statement is true.
Therefore, option 1 is correct.

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