show that 3√3 is an irrational
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Hey mate..
========
Let us assume to the contrary that
is a rational number.
So,
( where p,q are co-prime numbers and q is not equal to zero )
Since, p and q are integers, is a rational number .
So,
is a rational number
But it is impossible since,
is irrational .
So, We came to conclusion that , is an irrational number.
( Hence, Proved )
Hope it helps !!
========
Let us assume to the contrary that
is a rational number.
So,
( where p,q are co-prime numbers and q is not equal to zero )
Since, p and q are integers, is a rational number .
So,
is a rational number
But it is impossible since,
is irrational .
So, We came to conclusion that , is an irrational number.
( Hence, Proved )
Hope it helps !!
rajdeep17:
awesome thank you
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