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Because there are no integers x and y tat are coprime, such that x/y = sqrt(62). The proof requires knowledge of the unique prime factorisation theorem. If you know that theorem, you will have also learned why sqrt(62) is irrational. And if you have not, this site is not best suited to learn about the theorem.
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Earn +20 ptsQ: Why is the square root of 62 irrational?
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Continue Learning about Math & Arithmetic
Is the square root of 62 irrational or rational number?
irrational
Is the square root of 28 irrational or rational?
irrational
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
Is the square root of 33 irrational?
Yes, square root of 33 is irrational.
Is the square root of 37 an irrational?
The square root of 37 is an irrational number.
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