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Least number subtracted to get a perfect square
Least number subtracted to get a perfect square
Last updated at May 29, 2023 by Teachoo
Example 10 Find the least number that must be subtracted from 5607 so as to get a perfect square. Also find the square root of the perfect square. Finding square root of 5607 by long division Finding square root of 5607 by long division Here, Remainder = 131 Since remainder is not 0, So, 5607 is not a perfect square We need to find the least number that must be subtracted from 5607 so as to get a perfect square Thus, we subtract 131 (remainder) from 5607 to get a perfect square. ∴ Perfect square = 5607 − 131 Perfect square = 5476 Also, If we do long division with 5476 We get 74 as square root ∴ Square root of 5476 = 74