Question

prove that 2 root3-1 is an irrational number​

Answer 1

Step-by-step explanation:

Let us assume that (2√3−1) is rational .

add 1 to be above number, considering 1 is rational number.

as we know , sum of two rational numbers is rational.

Sum = 23−1+1=2√3

which is only possible if 2 is rational and √3 is rational.

But the fact is √3 is an irrational number which contradicts to our assumption .

So, (23−1) is an irrational.