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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. (ii) 1989 Finding square root of 1989 by long division Here, Remainder = 53 Since remainder is not 0, So, 1989 is not a perfect square We need to find the least number that must be subtracted from 1989 so as to get a perfect square Thus, we subtract 53 (remainder) from 1989 to get a perfect square. ∴ Perfect square = 1989 − 53 Perfect square = 1936 Also, If we do long division with 1936 We get 44 as square root ∴ Square root of 1936 = 44

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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.