Question

prove that √2+√5 is an irrational number

Answer 1

Let the √2+√5 is rational number, so it can be written as in the form of a/b

Thus, √2+√5=a/b

√2=a/b-√5

=a-b√5

So, our assumption become wrong here, it cant be possible √2=a-b√5 where √2 is irrational number.

Hence, it contradicts that √2+√5 is irrational number

Hope it will help you