Question

√2-√3 is a irrational number prove it

Answer 1

please mark this answer as brainly answer

Answer 2

Let √2 + √3 = (a/b) is a rational no. 
On squaring both sides , we get 2 + 3  + 2√6 = (a2/b2) 
So,5 + 2√6 = (a2/b2) a rational no.
So, 2√6 = (a2/b2) – 5 
Since, 2√6 is an irrational no. and (a2/b2) – 5 is a rational no. 
So, my contradiction is wrong. So, (√2 + √3) is an irrational no.

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