Question

find a and b if 1/2+√3=a+b√3

Answer 1

Hello friend

Good morning

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Given

$= > \frac{1}{2 + \sqrt{3} } = \frac{a }{a + b \sqrt{3} } \\ \\ lhs = > \frac{1}{2 + \sqrt{3} } \\ \\ = > \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \\ = > \frac{2 - \sqrt{3} }{ {(2)}^{2} - { (\sqrt{3} )}^{2} } \\ \\ = > \frac{2 - \sqrt{3} }{4 - 3} \\ \\ = > 2 - \sqrt{3} \: \: on \: comparing \: with \: a - b \sqrt{3} \\ \\ = > a = 2 \: and \: b = 1 \: \\ \\ \: i \: hope \: it \: will \: help \: you \: a \: lot \\ \\ thanks$


❤❤❤❤❤❤❤❤❤❤❤❤❤