Question

Show that 2-√3 is an irrational numbers.

Answer 1

Step-by-step explanation:

it is given in the rule that numbers with root aare irrational

Answer 2

2-√3 is irrational

Step-by-step explanation:

2-√3

Let us assume 2-√3 is rational. Then it can be expressed as a/b where a and b are co-primes and b is not zero.

a / b = 2-√3

a / b - 2 = -√3

So a /b -2 = -√3 where a/b -2 is rational and -√3 is irrational.

rational can't be equal to irrational.

So our assumption is incorrect.

So 2-√3 is irrational. Hence Proved.