Question

prove that 3+2√5 is an irrational number

Answer 1

Hey

To prove :- 3 + 2√5 is irrational .

Proof :-

We know that ,

( Rational ) × ( irrational ) = irrational

So , 2 × √5 = irrational

Now ,
we also know that

rational + irrational = irrational

so ,

3 + 2√5 = irrational ( as 3 is rational & 2√5 is irrational )

So , it got proved .

thanks :)