Explain 3/2√3 is irrational
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Solution:
Let us assume 3/2√3 is a rational number.
3/2√3 = a/b
Where a,b are integers , b≠0
=> 3/2 = √3a/b
=> 3b/2a = √3
Since , a,b are integers , (3b/2a) is a rational ,So , √3 is rational.
But , this contradicts the fact that √3 is an irrational.
Therefore,
3/2√3 is an irrational number.
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