Question

$\huge\red{question}$
If, a =2+√3
than, a + 1/a = ?​

Answer 1

Answer:

Given,

a= 2+√3

than

a+ 1/a

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

Now,

multiply

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

therefore,

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

$2 + \sqrt{3} + \frac{2 - \sqrt{3} }{2 ^{2} - \sqrt{3 }^{2} }$

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

$2 + \sqrt{3} + 2 - \sqrt{3}$

= 4

therefore 4 is answer

Step-by-step explanation:

hope it helps yrr