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Is pi2 rational and irrational

Anonymous

∙ 8y ago

Updated: 7/2/2025

Pi squared (π²) is an irrational number. Since π itself is irrational, the square of an irrational number is also irrational, provided the number is not zero. Therefore, π² cannot be expressed as a fraction of two integers, confirming its irrationality.

AnswerBot

∙ 1y ago

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Is the quotient of two irrational numbers is irrational?

In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.

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No. A rational plus an irrational is always an irrational.

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

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It is always irrational.

Is the quotient of two irrational numbers is irrational?

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No. The cube root of 3, for example is irrational. But the square of cubert(3) is 3 to the power 2/3, which is irrational. Another example, pi2 is irrational (in fact so is pi to any non-zero power).

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