If a numerator and/or denominator in a fraction is irrational, the entire fraction is irrational. Since pi is irrational, pi divided by two is also irrational.

I assume you mean 2 times pi. Since pi is irrational, 2 pi is also irrational.

No. sqrt(2)/pi is not rational.

No, since Pi is an irrational number, 2(pi) would still be irrational.

Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.

2 times pi is not an integer. Since Pi is an irrational number, 2 pi is also an irrational number.

It is an irrational number

It is irrational

An irrational number is a number that can not be expressed as a fraction as for example the square root of 2 or the value of pi

Yes.

Yes. pi - sqrt(2) is irrational.

No irrational numbers are integers. Pi is one example.

No. pi/2 is a fraction but, since pi is irrational, so it pi/2.

It is the irrational number, 2+pi which is approximately 5.14159

2*Pi is an even irrational number.

Yes - except that you need to specify ratios of INTEGERS. pi/2 is a ratio of pi and 2 but it is irrational.

pi is not divided into anything - unless you specify pi/2 or pi/3.6

pi -- 2

1

Find the difference between the two numbers, then add an irrational number between zero and one, divided by this difference, to the lower number. Such an irrational number might be pi/10, (square root of 2) / 2, etc.

2

1, 2 are rational and square root of 2 and pi are irrational.

That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.

If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.

pi, the square root of 2, and e are all irrational numbers.