Question

prove that 2+√3
isirrational​

Answer 1

Answer:

Here's your answer

#Let us assume that 2+√3 is rational... so

#where p and q are integers and q is not equal to 0..

$2 + \sqrt{3} = \frac{p}{q} \\ \\ \sqrt{3} = \frac{p}{q} - 2 \\ \\ \sqrt{3} = \frac{p - 2q}{q}$

#Since p-2q/q is rational so √3 will also be rational....

#But this contradict the fact that √3 is irrational...

#This contradiction has raised due to our incorrect assumption that 2+√3 is rational...

#Therefore, 2+√3 is irrational...

Hope it helps ✌

Answer 2

Answer:

hey mate here is your answer:-

Let, 2+ root 3 will be rational no.

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