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
