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Ex 5.4, 4 Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. (v) 4000 Finding square root of 4000 by long division Here, Remainder = 31 Since remainder is not 0, So, 4000 is not a perfect square We need to find the least number that must be subtracted from 4000 so as to get a perfect square Thus, we subtract 31 (remainder) from 4000 to get a perfect square. ∴ Perfect square = 4000 − 31 Perfect square = 3969 Also, If we do long division with 3969 We get 63 as square root ∴ Square root of 3969 = 63

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.