Question

If x=2+√3 find the value of √x+1/√x.

Answer 1

Step-by-step explanation:

1/ X = 1/( 2+√3)

rationalize it by multiplying and dividing it by ( 2-√3) we get

1/X = 2-√3

now

( √x+1/√x) ^2 =( X )+( 1/X )+ 2*(√x)*(1/√x )

= 2+√ 3 + 2-√3 + 2

= 6

( √x+1/√x) ^2 = 6

taking square root both sides

√x+ 1/√x= √6

Answer 2

Step-by-step explanation:

I hope my answer will be helpful