Question

prove that 5+3√2 is irrational​

Answer 1

Step-by-step explanation:

Given - √2 is irrational.

let is assume 5+3√2 is rational.

So,

5+3√2 = a/b

3√2 =a/b-5=a-5b/b

root2=a-5b/3b

But we know that √2 is irrational.

so our assumption is wrong.

5+3√2 is irrational.

Hence proved