What's an Irrational Number?

If a number cannot be written in the form a/b, where 'a' and 'b' are integers, it is IRRATIONAL
'π' is the symbol for the Greek letter 'pi'
π is an irrational number that is used in many areas of math
π has a decimal that never repeats and never ends, so it is irrational
Square roots of non-perfect squares, like 2, 3, and 5 are also irrational

1. Rational numbers are numbers that CAN be expressed as a fraction
1. π is a number that is useful in finding the area and circumference of a circle
2. It comes up a lot in many different areas of math!
1. You can't write π in the form a/b
1. π can't be written as a fraction
2. It is a decimal that goes on forever and never repeats
3. So it is an IRRATIONAL NUMBER
1. A perfect square is a number whose square root is a whole number
1. There is no whole number that gives us 2 when we square it
2. So 2 is not a perfect square
3. That means its square root is IRRATIONAL
1. There is no whole number that gives us 3 or 5 when we square it
2. So 3 and 5 are not perfect squares, and their square roots are irrational
1. There is no whole number that gives us 3 or 5 when we square it
2. So 3 and 5 are not perfect squares, and their square roots are irrational
1. Numbers that can be written as a simple fraction, or in the form a/b, are called RATIONAL numbers
2. If a number CANNOT be written in this form, it is IRRATIONAL

What is an irrational number?