Question

prove that 3 - root 5 is irrational

Answer 1

it's totally same just replace 2√5 with -√5

Answer 2

Hi Friend !!!

Here is ur answer !!

Let's assume that 3-√5 is rational number a
Every rational number is in the form of p/q where p, q are integers


3-√5 = p/q

√5 = 3-p/q

√5 = 3q-p/q

If p, q are integers then 3q-p/q is a rational number

Then √5 is also an rational number

But it contradicts the fact that √5 is irrational number

So, our assumption is wrong

So, 3-√5 is irrational number

Hope it helps u : )