Question

if x =7+4√3 then find x + 1 by x,√x+1 by√x

Answer 1

Step-by-step explanation:

x+1/x=(7+4√3+1)/(4+3+4√3)

=(8+4√3)/{(2)^2+(√3)^2+2.2.√3}

=4(2+√3)/(2+√3)^2

=4/(2+√3)

x=7+4√3=(2+√3)^2

√x=2+√3

√x+1/√x=(2+√3+1)/(2+√3)

=(3+√3)/(2+√3)

=√3(√3+1)/(2+√3)