Question

\sqrt{62} rational or irrational

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Answered by GPT-4o mini
The square root of 62, written as \(\sqrt{62}\), is an irrational number. This is because 62 is not a perfect square—there are no two identical integers that can be multiplied together to equal 62.

More specifically, to determine whether a square root is rational, we check if the number can be expressed as a fraction of two integers (a/b where b is not zero). Since \(\sqrt{62}\) cannot be simplified to a fraction of two integers, it is classified as irrational.

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