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Ex 6.4, 4 - Find the least number which must be subtracted from

Ex 6.4, 4 - Chapter 6 Class 8 Squares and Square Roots - Part 2

 

 


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Ex 6.4, 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. (i) 402 Finding square root of 402 by long division Here, Remainder = 2 Since remainder is not 0, So, 402 is not a perfect square Rough 40 × 0 = 0 41 × 1 = 41 We need to find the least number that must be subtracted from 402 so as to get a perfect square Thus, we subtract 2 (remainder) from 402 to get a perfect square. ∴ Perfect square = 402 − 2 Perfect square = 400 Also, If we do long division with 400 We get 20 as square root ∴ Square root of 400 = 20

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.