To Prove: 3 + 2√5 is irrational
Let is rational.
We can find two integers p & q where, (q ≠ 0) such that
Since p and q are integers, will also be rational and therefore, is rational.
We know that √5 is irrational but according to above statement it has to be rational
So, both the comments are contradictory,
Hence, the number should have been irrational to make the statement correct.
Therefore, is irrational
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<span lang="EN-USRS Aggarwal - Mathematics