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It is between -5,000,000 and 5,000,000. The question is so poorly phrased that it is hard to know where to begin!

First of all, there is a negative square root of 193 and a positive square root of 193.

Suppose you are only interested in the positive square root. The answer could be that it is between 0 and 5,000,000. It is the positive sqrt so it must be greater than 0. Also, the sqrt of 193 will be less than 193 and so definitely less than 5 million. So that answers your question together with a refinement that I have added.

Next. what are the perfect square numbers in the region of 193? 132 = 169 and 142 = 196

That is 132 = 169 < 193 < 196 = 142 so 13 < sqrt(193) < 14.

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Q: What is the value of the irrational square root of 193 that is between what two numbers?
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