Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Which of these numbers are rational?
, , , , , , , ,
An irrational number cannot be written as . Its decimal never ends and never repeats. is irrational when the whole number is not a perfect square. Rational and irrational numbers together make the real numbers.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Rational. , , , , , , and , which ends.
Step 2. Irrational. , since is not a perfect square, and .
Answer: of them are rational; and are not.
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