Question

prove that 2 minus √ 3 is an irrational number​

Answer 1

Answer:

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Step-by-step explanation:

Let us assume that 2-√3 is rational.

so it can be written of form a/b (b≠0) where both a and b are co-primes

so, 2-√3 = a/b

⇒ √3 = 2- a/b

here a, b and 2 are integers. so 2- a/b is rational.

so √3 is also rational.

but this contradicts the fact that √3 is irrational (as we know it is irrational).

this contradiction has rise due to our wrong assumption of 2-√3 as rational.

 hence, it is irrational.

Answer 2

See the attachment

Hope it is helpful