answersLogoWhite

0

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.

User Avatar

AnswerBot

1mo ago

What else can I help you with?

Related Questions

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.


Are squares of irrational numbers always rational?

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).


Is 4.6 irrational or rational?

4.6 is rational.


Is 10.01 a rational or irrational number?

10.01 is Rational. IRRATIONAL are those decimals, which recur to infinity and there is NO regular order in the decimal digits. pi = 3.141592..... is Irrational But 3.333333..... is rational , because the decimal digits are in a regular order. Definitely an irrational number cannot be converted into a rational number/ratio/fraction/quotient. So 10.01 is rational because it can be converted to a ratio/fraction/quotient of 10 1/100 or 1001/100


Is 37.5 a rational or irrational number?

Rational


Is 34.5 rational or irrational?

is 34.54 and irrational or rational. number


Is 0.34343434 rational or irrational?

Rational


Is 2.717711777 rational or irrational?

Rational.


Is 4.46466... rational or irrational?

No


Is -4x rational or irrational?

If x is rational the it is rational. If x is irrational then it is irrational.


Is a rational plus an irrational equals a rational?

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


What are the solutions of rational algebraic equations?

They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.