Question

prove that 2
$2 \sqrt{3} - 1$
is an irrational
​

Answer 1

Step-by-step explanation:

A rational number can be written in the form of p/q where p,q are integers. p,q are integers then (p+q)/2q is a rational number. Then,√3 is also a rational number. ... So,2√3-1 is an irrational number.

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Answer 2

Answer:

let be assume that 2√3-1 is a rational number.

therefore, 2√3-1 = a/b

√3-1=a/2b

√3=a/2b+1

√3=2b+a/2b

2b+a/2b is a rational number therefore √3 is also an rational number but it is contradict that √3 is a irrational number therefore our assumption is wrong and 2√3-1 is an irrational number.