Math, asked by somyakumari1689, 1 year ago

Explain 3/2√3 is irrational

Answers

Answered by mysticd
0

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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