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:
8100

Solution:

Resolving into prime factors:

$8100=2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5$

$\therefore \sqrt{8100}=2 \times 3 \times 3 \times 5=90$

 

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