Question

prove that
$\sqrt{2} + 3$
is an irrational number

Answer 1

t disk's dhak dhak hook

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.