Question

prove that 5-√3 is irrational .​

Answer 1

Step-by-step explanation:

In 5 - root 3 root 3is irrational as we know therefore this is a irrational

Answer 2

Answer:

Let's consider 5-√3 as rational .

Then (5-√3)^2 is rational.

So, (8-10√3) is rational.

But ,the sum of a rational and irational no. is irational.

Therefore, our consideration was wrong.

Hence, (5-√3) is irrational. – proved.