Question

Prove that 7+√5 is irrational​

Answer 1

Let 7√5 be a rational number.

So,

7√5 = p/q.

(p and q are co-prime number and q ≠ 0)

=> √5 = p/7q

As, we can see that p/7q ia rational so √5 should also be rational. But this contradict the fact that √5 is irrational.

So, by this we can say that 7√5 is irrational number.

Answer 2

Step-by-step explanation:

let us assume that 7+√5 is a rational no.

therefore 7+√5=a\b

√5=a/b-7

hence a rational no. can not be equal to a irrational no.(√5)

therefore 7+√5 is an irrational no.