Question

find the square root of 8100 by prime factorization
​

Answer 1

Using prime factorisation method:

8100=2×2×5×5×3×3×3×3

⇒8100=2

2

×5

2

×3

2

×3

2

Taking square root on both sides, we get

8100

=

2

2

×5

2

×3

2

×3

2

=2×5×3×3

=90