Question:
Find the least number which must be added to 6412 so as to get a perfect square. Also find the square root of the perfect square so obtained.
Answer:
When we calculate square root of 6412, the remainder is 12
It represenetcs that the square of 80 is less than 6412
The next number is 81 and (81)2 = 6561
So, the number to be added to 6412 = 6561 - 6412 = 149
Hence the required perfect square number is 6561
Now √(6561) = √(81 * 81) = 81
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