How do you find the square root of 3969?

We have to find the square root of 3969

Solution

To find the square root of 3969 we will factorise it first

Prime factorisation of 3969

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.

Answer

Hence The square root of 3969 is 63

Hence, √3969 = 63

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