Prove the following statement: The square root of 3 is an irrational number.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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
a 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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