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Since 95 is positive, its square root is real. Only negative numbers have non-real square roots.

That leaves the question of whether it is rational or irrational. An integer's square root can only be rational if it is itself an integer. But 95 is not a perfect square, so it's square root is not an integer.

Therefore the square root is irrational.

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Q: Is the square root of 95 rational irrational or not a real number?

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