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Classify the following numbers as rational or irrational explain your reasoning3pie

Classify the following numbers as rational or irrational explain your reasoning3pie-example-1
User Samwise
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An irrational number is a number which cannot be expressed as the quotient of two integers.

The constant:


\pi

Is an irrational number. So, the number:


3\pi

Must also be an irrational number. This is because if it was a rational number, then there would be two integers a and b such that:


3\pi=(a)/(b)

Then, we would be able to write the constant π as the quotient of a and 3b:


\pi=(a)/(3b)

which is not possible, since π is an irrational number.

Therefore, 3π is irrational.

User Nazgul
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