Find the least number that must be added to 1500 so as to get a perfect square. Also find the square root of the perfect square.

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Solution

Here, it is clear that $38^{2} < 1500 < 39^{2}$
Hence the number to be added $= 39^{2} - 1500$
$= 1521 - 1500$
$= 21$

Therefore, the perfect square is $1500 + 21 = 1521$
$\sqrt{1521} = 39$

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Find the least number that must be added to 1500 so as to get a perfect square. Also find the square root of the perfect square.

Here, it is clear that 382<1500<392 Hence the number to be added =392–1500 =1521–1500 =21 Therefore, the perfect square is 1500+21=1521 √1521=39

Here, it is clear that $38^{2} < 1500 < 39^{2}$
Hence the number to be added $= 39^{2} - 1500$
$= 1521 - 1500$
$= 21$

Therefore, the perfect square is $1500 + 21 = 1521$
$\sqrt{1521} = 39$