## anonymous 3 years ago What is one example of an irrational number and a rational number?

1. anonymous

A rational is a number which could be written in the form of p/q or fraction. For Example $\sqrt{4}$ = 2 which is understood 4/1. So $\sqrt{4}$ is a rational number and $\sqrt{3}$ is an irrational number.

2. anonymous

u got it?

3. anonymous

To prove that a number is irrational we usually assume it is rational and then prove it leads to a contradiction.

4. cwrw238

also a rational number can be written as a fraction e.g. 2/3 whereas an irrational cannot many square roots are irrational like sqrt2 , sqrt5, sqrt7

5. anonymous

Any squareroot of a prime is irational

6. cwrw238

right - also square root of some even numbers like 8, 12

7. anonymous

That you get by writing those numbers as a multiplication of primes: 8=2*2*2, 12=2*2*3 and what is left in the squareroot is a prime, therefore irrational