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What is the least integer whose square root is an irrational number between 5 and 7?

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To find the least integer whose square root is an irrational number between 5 and 7, we need to find the smallest perfect square greater than 5 and the largest perfect square less than 7.

The smallest perfect square greater than 5 is 6^2 = 36, and the largest perfect square less than 7 is 2^2 = 4.

So, the least integer whose square root is an irrational number between 5 and 7 is the integer immediately greater than 4, which is 5.

Therefore, the answer is 5.
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