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Q: Is 97 a rational or irrational number?

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The square root of ANY positive integer is either a whole number, or an irrational number. Only the perfect squares have whole number square roots; all the rest are irrational. 97 is not a perfect square therefore √97 is irrational.

10.01 is a rational number

Rational

Such a product is always irrational - unless the rational number happens to be zero.

The sum of a rational and irrational number must be an irrational number.

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The square root of ANY positive integer is either a whole number, or an irrational number. Only the perfect squares have whole number square roots; all the rest are irrational. 97 is not a perfect square therefore √97 is irrational.

10.01 is a rational number

Rational

It is a rational number

It is a rational number.

No rational number is an irrational number.

is 34.54 and irrational or rational. number

Irrational. If you multiply a rational number by an irrational number, you will always get an irrational number (except if the rational number happens to be zero).

it is a rational number but 4.121314..... is an irrational no

Irrational.

Such a product is always irrational - unless the rational number happens to be zero.

The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.