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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. (iv) 825 Finding square root of 825 by long division Here, Remainder = 41 Since remainder is not 0, So, 825 is not a perfect square We need to find the least number that must be subtracted from 825 so as to get a perfect square Thus, we subtract 41 (remainder) from 825 to get a perfect square. ∴ Perfect square = 825 − 41 Perfect square = 784 Also, If we do long division with 784 We get 28 as square root ∴ Square root of 784 = 28

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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.