Question

prove that 3/root 3 = root 3​

Answer 1

Answer:

Here is yr answer.....

Let us assume 3-√3 is rational

let 3-√3 = a/b (a,b are any integers)

=> 3 - a/b = √3

=> √3 = 3 - a/b

=> √3 = 3b-a/b

For any two integers, RHS (3b-a/b) is rational

But, LHS(√3) is irrational

A rational and irrational are never equal

So, our assumption is false

Therefore, 3-√3 is irrationally ok follow me ✌️ samile ✌

Answer 2

3/root 3 :- LHS

3 = root3 × root 3

hence;

3 / root 3 = root 3 × root 3/ root3

= root 3 = RHS

Hence proved .