How do I prove √3 is irrational
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How do I prove √3 is irrational

[From: ] [author: ] [Date: 12-06-21] [Hit: ]
nasa.gov/WWW/K-12/Numbers…-A proof by contradicts works by first assuming what you wish to show is false. Thus assume that the square root of 3 is rational.where p and q are integers with no factors in common (and q non-zero).See if you can derive a contradiction from this (HINT: see if you can find a common factor which would be a contradiction).-Well,......
I think that question must be solved by contradiction method..

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There are lots of solutions to this on the internet, including some on youtube where they walk you thru it. Here is another:

http://www.grc.nasa.gov/WWW/K-12/Numbers…

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A proof by contradicts works by first assuming what you wish to show is false. Thus assume that the square root of 3 is rational. Then you can write:
3√=pq

where p and q are integers with no factors in common (and q non-zero).

See if you can derive a contradiction from this (HINT: see if you can find a common factor which would be a contradiction).

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Well, you know it is irrational because √3 = 1.732050.....
It is not a whole number (obviously) and it is not a rational number because you can't express it as a simple fraction. It is a long decimal, so it is irrational.

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@ Really Dakines

how is that a proof ???
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