Prove that 3√2/4 is an irrrational numbers
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To prove ,
is an irrational number.
Proof,
Let us assume, to the contrary, that is rational.
Then, there exist co-prime positive integers' a 'and 'b' such that,
⇛
⇛
⇛
Here we got that is rational as here it is in the form of p/q where
This contradicts the fact that is an irrational number.
So our assumptions were wrong
Hence
is a irrational number
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