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3. Find the square root using long division method: 3969 2601 . |
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Answer»
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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