Question

a=2+√3 find a+1/a please explain it​

Answer 1

$\huge{ \underline{ \underline{ \bold{ \purple{ \sf{answer}}}}}}$

a+1/ a

Where a = 2+√3

2+√3 +1/ 2+√3

= 3+√3 / 2+√3

= √3(√3+1)/2+√3

Answer 2

Answer:

4

Step-by-step explanation:

$a = 2 + \sqrt{3}$

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

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

a² - b² = (a + b)(a - b)

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

$= 2 - \sqrt{3}$

$a + \frac{1}{a } = 2 + \sqrt{3} + 2 - \sqrt{3}$

$= 4$