Question

show that (3+√3)(3-√3)is irrational

Answer 1

Hey Barbie13546pdghzb!!!!

Let me answer the question-show that 3+√5 is irrational.

Answer:

For questions like these we use the contradictory method. I'm sure you already know but let me just say how my sir taught us.

I want prove that a girl is good girl.

Let me assume that she is bad girl. But she does the work on time, completes her projects with perfection and excels in co-curricular activities etc., has all the qualities that a bad girl shouldn't have. This whole contradiction is because of my wrong assumption in the beginning therefore she is not bad girl but a good girl. [Just ignore if you don't like it]

Let's assume 3+√5 is rational

Then, 3+√5=p/q

=> √5= (p/q)-5

=> √5= p-5q/q (do LCM)

Here, p-5q/q is rational number, so, √5 should also be rational. But, we know that √5 is irrational.

This contradiction is due to our wrong assumption.

Thus, our assumption is wrong.

3+√5 is irrational method