Question

prove that 8-2 root 3 is irrational number​

Answer 1

Answer:

To prove : 8-2√3 is irrational.

proof:

We prove this by the method known as contradiction. Firstly, we can ask you the given 8-2√3 as rational.

Therefore,

8-2√3 = a/b [ where a and b are co primes]

Or, -2√3 = a/b - 8

0r, 2√3 = 8-a/b

or, 2√3 = (8b-a)/b

or, √3 = (8b-a)/2b

Since, a and b are rational numbers therefore, (8b-a)/2b is rational. But,

this contradicts the fact that √3 is irrational. This contradiction have araisen due to our wrong assumption that 8-2√3 is rational number. Therefore, it is a irrational number.

Also refer:

https://brainly.in/question/16136683

Answer 2

Answer:

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Step-by-step explanation: