Question

if a= 2+√3 find the value of a + 1/a​

Answer 1

2+√3 + 1/(2+√3)

(4 + 3 +1)/2+√3

8/2+√3

thanks

Answer 2

Answer:

4

Hope this helps.

Step-by-step explanation:

1 / a = 1 / ( 2+√3 )

 =  ( 2-√3 ) / [ ( 2+√3 ) ( 2-√3 ) ]

 =  ( 2-√3 ) / ( 2² - √3² )

 =  ( 2-√3 ) / ( 4 - 3 )

 = 2 - √3

So   a + 1/a  = ( 2+√3 ) + ( 2-√3 ) = 4