Find the square root of number by using the method of prime factorisation:

Question:

Find the square root of number by using the method of prime factorisation:
4096

Solution:

Resolving into prime factors:$4096=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$

$\therefore \sqrt{4096}=2 \times 2 \times 2 \times 2 \times 2 \times 2=64$

 

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