Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained (i) 525
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Solution:
(i) 525
Since remainder is 41.
Therefore 22^2<52522
2
<525
Next perfect square number 23^2=52923
2
=529
Hence, number to be added
= 529 – 525 = 4
\therefore525+4=529∴525+4=529
Hence, the square root of 529 is 23.
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