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:
11025

Solution:

Resolving into prime factors:

$11025=3 \times 3 \times 5 \times 5 \times 7 \times 7$

$\therefore \sqrt{11025}=3 \times 5 \times 7=105$

 

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