Question

prove that 1/2 under root 2 + 2/ under root 5 - under root 3 + 1/ 2 - under root 5 =0 ​

Answer 1

Answer:

Let us suppose that √2+√3 is rational.

Let √2+√3=,

where a,b are integers and b≠0

Therefore,

On Squaring both sides , we get

Rearranging the terms ,

Since , a,b are integers ,

is rational, and so √3 is rational.

This contradicts the fact √3 is irrational.

Hence, √2+√3 is irrational

Step-by-step explanation: