Question : The least six-digit number, which is a perfect square, is:
Option 1: 100489
Option 2: 10000
Option 3: 100256
Option 4: 100255
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Correct Answer: 100489
Solution : The least six-digit number is 100000. Using the long division method to find its square root, we see that it is not a perfect square. ⇒ (316) 2 = (100000 – 144) = 99856, a 5-digit number. But (317) 2 = 100489, a 6-digit number. Therefore, the smallest six-digit number which is also a perfect square is 100489. Hence, the correct answer is 100489.
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