Question

Prove that 7√5 is a irrational number.

Answer 1

Answer:

∴ We can conclude that 7 - √5 is irrational.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 not equal to 0) are co-prime

7√5 = a/b

√5 = a/7b

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

as Rational=Irrational

Therefore, 7√5 is irrational