Prove the following statement:  The square root of 3 is an irrational number.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Discrete Mathematics Proof Questions.

The type of answer I'm looking for is from these youtube videos:

https://www.youtube.com/watch?v=sRDwsfNDXak

https://www.youtube.com/watch?v=y3UMNzAr6DI

https://www.youtube.com/watch?v=inUkhh8-h-I&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS&index=41

 

Please make sure you understand the previous videos to answer my following question.

1)Use the following definitions to prove the next statement

rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. For example Pi or the square root of 2


Prove the following statement:

 The square root of 3 is an irrational number.

HINT: use the following proof to prove the previous statement: if m^2 is divisible by 3, then m is divisible by 3.

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