Question

What is the least number that should be subtracted from 1385 to get a perfect square? Also find the square root of the perfect square.

Answer 1

First, find the square root of 1385 by long division method.

	37
3	`bar13` `bar85`
	9
67	485
	469
	16

Hence, the least number is 16, which should be subtracted from 1385 to get a perfect square and the required perfect square number = 1385 – 16 = 1369

∴ Square root of 1369 = `sqrt(37 xx 37)` = 37