Question

if a=2+√3 find value of 1/a​

Answer 1

Step-by-step explanation:

a= 2+ root 3

1/a = 1/2+root 3

1/ 2+root 3 × 2-root 3/2-root3

$\frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3 } } \\ \\ \frac{2 - \sqrt{3} }{ {2}^{2} - { \sqrt{3 } }^{2} } \\ \\ \frac{2 - \sqrt{3} }{4 - 3} \\ \\ \\ \frac{2 - \sqrt{3} }{1} \\ \\ 2 - \sqrt{3}$