Question

1)* Prove that 2 /√7 is irrational.​

Answer 1

Step-by-step explanation:

Let 2/√7 is a rational number.

2/√7 = p/q

p√7 = 2q

√7 = 2q/p

2q/p is a rational number.

Therefore, √7 is also a rational number.

But the fact is contradictory of it that √7 is an irrational number.

Therefore, our assumption is wrong

Hence, 2√7 is an irrational number.

Hope it helps you...