If `x=7+4 sqrt3,` then find the value of `sqrtx + 1/sqrtx`

Explanation

`x=7+4sqrt3`

`x=4+3+4sqrt3`

`x=(2+sqrt3)^2=7+4sqrt3`

`(sqrtx+1/sqrtx)=(2+sqrt3)+1/(2+sqrt3)`

`=((2+sqrt3)^2+1)/(2+sqrt3)`

`=(7+4sqrt3+1)/(2+sqrt3)`

`=(8+4sqrt3)/(2+sqrt3)`

`=4(2+sqrt3)/(2+sqrt3)`

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