Question

how to find square root of 3969​

Answer 1

Explanation:

Here we have to find the prime factors of 3969.

Divide 3969 by 3;

3969 ÷ 3 = 1323

Divide 1323 by 3

1323 ÷ 3 = 441

Divide 441 by 3

441 ÷ 3 = 147

Divide 147 by 3

147 ÷ 3 = 49

Divide 49 by 7

49 ÷ 7 = 7

Divide 7 by 7

7 ÷ 7 = 1

By prime factorisation, we know:

3969 =3 × 3 × 3 × 3 × 7 × 7

Here

After pairing the same prime factors, no factor is left.

Therefore, 3969 is a perfect square of 3 × 3 × 7 = 63.