Question

Prove that 2 root 3 - 1 is an irrational number

Answer 1

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here is ur anSwer:--

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Answer 2

$\huge\underline\mathfrak\blue{Answer:-}$

$<i><b>$A rational number can be written as in the form of p/ q where p and q are the integer ( p& q are the co - prime no . where as (q ≠ 0 )

$2 \sqrt{3 } - 1 \: \: \frac{p}{q} \\ \\ 2 \sqrt{3} = ( \frac{p}{q } + 1) \\ \\ \sqrt{3} = \frac{1}{2} ( \frac{p}{q} + 1)$

√3 is an irrational number

LHS ≠ RHS

So our suppositions is wrong

so we can say that 2√3-1 is an irrational number .