Question : What is the smallest value that must be added to 709, so that the resultant is a perfect square?
Option 1: 8
Option 2: 12
Option 3: 20
Option 4: 32
Correct Answer: 20
Solution : 709 + $x$ = perfect square The perfect square nearest to 709 is 729 = 27 2 $\therefore x$ = 729 – 709 = 20 Hence, the correct answer is 20.
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