Least number subtracted to get a perfect square
Least number subtracted to get a perfect square
Last updated at May 26, 2023 by Teachoo
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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. (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
