Do you mean (2√7-√3) / (√7+√3) ?
(2√7 - √3)/(√7 + √3) × ((√7 - √3)/(√7 - √3)) = (2√7 - √3)(√7 - √3)/(7 - 3)
= (14 - 3√21 + 3)/4
= (17 - 3√21)/4
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Verified answer
Do you mean (2√7-√3) / (√7+√3) ?
(2√7 - √3)/(√7 + √3) × ((√7 - √3)/(√7 - √3)) = (2√7 - √3)(√7 - √3)/(7 - 3)
= (14 - 3√21 + 3)/4
= (17 - 3√21)/4