Question

If x = 7 +4√3 find the value of √x + 1/√x​

Answer 1

Answer:

√x=7+4√3

=> √x=4+3+4√3

=> √x=(2)^2+2 2.√3+(√3)^2

=> √x=(2+√3)^2

=> x=2+√3

1/x=1/(2+√3)=(2-√3)/(2+√3)(2-√3)

=> 1/x=2-√3/(4-3)

=> 1/x=2-√3

√x+1/√x=2+√3+2-√3=4

so, √x+1/√x=4