Question

prove that 7√5 is an irrational​

Answer 1

Answer:

Let us assume that 7√5 is rational number

Hence 7√5 can be written in the form of a/b

where a,b(b is not equal to 0) are co-prime

⟹7√5 = a/b

⟹ √5=a/7b

But here √5 is irrational and a/7b is rational

as Rational is not equal to Irrational .

This is a contradiction

so 7√5 is a irrational number