Prove tahat 3-root 2 is an irrational
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GIVEN : a number.
PROVE : We have to prove that is an irrational number.
PROOF :
• Let us assume that is a rational number.
=> =
Here.. 'a' and 'b' are co-prime numbers.
=> =
=> =
Here..
is a rational number. So, is also a rational number.
But we know that is irrational number.
Means, our assumption is wrong.
is an irrational number.
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