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**harpazo1965****Member**- Registered: 2022-09-19
- Posts: 129

College Algebra

Section R.1

Are there any real numbers that are both rational and irrational?

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,719

hi harpazo1965

In a word, no.

The set of rational is all those numbers that can be written as the ratio of two integers:

eg 0.5 = 2/4

The set of irrationals is all those (real) numbers that cannot be so written.

eg √2.

There is a fairly well known proof that root 2 cannot be written as a ratio of integers.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**harpazo1965****Member**- Registered: 2022-09-19
- Posts: 129

Can you recommend a good math site or YouTube video clip that goes a little deeper into the realm of real numbers?

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