Find the least number which must be added to the following numbers to make them a perfect square. Also, find the square root of the perfect square. a) 26535
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Given number is 26535.
(i)
Square root of 26535 = √26535 = 162.89.
⇒ (162)^2 < 26535 < (163)^2
⇒ 26244 < 26535 < 26569
Hence, the least number which must be subtracted from 26535 to make it a perfect square = 26535 - 26244 = 291.
Therefore, 291 should be subtracted from 26535 to make it a perfect square.
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