Question

the square root of two is a rational number

Answer 1

whats the question

Answer 2

No.

Answer 3

square root of 2 isn't a rational number
http://en.wikipedia.org/wiki/Square_root_of_2
"It was probably the first number known to be irrational"

Answer 4

The definition of a rational number is a number that can be written in the form:

\[\frac{ a }{ b }\]

Where a and b are both integers and b does not equal 0.

Integer means whole number, and you cannot divide by 0. So that's what b not equal 0 means.

If we have \[\sqrt{2}\], we can try to write it in that form by putting it over 1.

\[{\frac{ \sqrt2 }{ 1}}\].

This does not work because {\sqrt2} is not an integer (whole number)

You can try multiplying it by \[\frac{ \sqrt{2} }{ \sqrt{2} }\] (anything divided by itself is 1)

(Multiplying by 1 does not change the value of what you have)

You will find that you cannot write it as an integer over an integer,

Therefore \[\sqrt{2}\] is irrational.