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:
1296

Solution:

Resolving into prime factors:

$1296=2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3$

$\therefore \sqrt{1296}=2 \times 2 \times 3 \times 3=36$

 

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