Question

prove that 7√5 is an irrational​

Answer 1

Answer:

yes it is an irrational no. as √5 is an irrational no.

Step-by-step explanation:

Let us assume that 7

5

is rational number

Hence 7 and 5 can be written in the form of p/q

where p,q(q is not equal to zero) are co-prime

7 / 5 = p/q : 5 = (7q)/p

But here

5 is irrational and

(7q)/p

is rational

as Rational is not equal to Irrational

This is a contradiction

so 7√5 is a irrational number.