3. Find the square root using long division method: 3969 2601 .
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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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Answer:63/51
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