Question

if a=2+root 3 find 1/a​

Answer 1

Step-by-step explanation:

this step by step

this is correct answer

Answer 2

Step-by-step explanation:

$\because \: \sf \: a = 2 + \sqrt{3}$

$\therefore \: \sf \: \frac{1}{a} = \frac{1}{2 + \sqrt{3} }$

$\sf \: = \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} }$

$\sf \: = \frac{2 - \sqrt{3} }{ {(2)}^{2} - {( \sqrt{3} })^{2} }$

$\sf \: = \frac{2 - \sqrt{3} }{4 - 3}$

$\sf \: = 2 - \sqrt{3}$

$\sf \: So, \frac{1}{a} = 2 - \sqrt{3}$