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:
7056

Solution:

Resolving into prime factors:

$7056=2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 \times 7$

$\therefore \sqrt{7056}=2 \times 2 \times 3 \times 7=84$

 

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