Question

a+1/a=1/√3-1 then the value of a^2+1/a^2 is

Answer 1

Step-by-step explanation:

Solution

a=√3+1/√3-1

=(√3+1/√3-1)*(√3+1/√3+1)

On solving

a=(4+2√3)/2=2+√3

a²=(2+√3)²=7+4√3

b²=1/a²=1/(7+4√3)=7-4√3

ab=a*(1/a)=1

a²-b²+ab= (7+4√3)-(7-4√3)+1 = 1+8√3