Question

prove that √2+√3 is an irrational numbers?​

Answer 1

Step-by-step explanation:

IF YOU LIKE THIS, PLEASE FOLLOW ME.

Answer 2

Answer:

Prove :

Let√3+√2 is an rational number.. such that

√3+√2 = a/b ,where a and b are integers and b is not equal to zero ..

therefore,

√3+ √2 = a/b

√2 = a/b -3

√2 = (3b-a) /b

therefore, √2 = (3b - a)/b is rational as a, b and 3 are integers..

It means that √2 is rational....

But this contradicts the fact that √2 is irrational..

So, it concludes that√3+√2 is irrational..

hence proved.

HOPE you understand and like...