Question

if a = 7-4√3 , find the value of √a + 1/√a

Answer 1

a=7-4√3
=>a=2^2+(√3)^2-4√3
=>a=(2-√3)^2
=>√a=2-√3
=>1/√a=1/2-√3=2+√3
....
now, √a+1/√a=2-√3+2+√3=4