Question 28

Assume $$π‘Ž$$ is a positive integer which is not a perfect square. Let $$π‘₯, 𝑦$$ be non-negative integers such that $$\sqrt{x-\sqrt{x+a}} = \sqrt{a} - y$$. What is the largest possible value of $$π‘Ž$$ such that $$π‘Ž < 100$$?


Correct Answer: 91

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