Question

Prove that root 2 + root 3 is an irrational number.

Answer 1

Let √2+√3 be rational
then (√2+√3)2 will be also rational
(√2+√3)=(√2)2 +(√3)2 +2×√2×√3
= 2+3+2√6
But being the sum of rational and irrational number it is irrational
.
. . √2+√3 is also irrational

Answer 2

hey ur answer ....hope this helps u ..!!