Least number subtracted to get a perfect square
Least number subtracted to get a perfect square
Last updated at April 16, 2024 by Teachoo
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 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