Question

Prove that 5 - 2√ is irrational, given that √ is irrational​

Answer 1

Step-by-step explanation:

Let us assume that 5-2√3 is an rational no.

5-2√3 = p/q. ( where p and q are

integers)

-2√3 = p/q -5

√3= p-5q

2q

since p and q are integer we get p-5q is rational and so √3 is ratonal

2q.

but this is contradiction the fact that √3 is irrational

so 5-2√3 is irrational