Question

if x=√3-√2 find the value of [x+1/x]^2

Answer 1

Answer:

Step-by-step explanation:[x+1/x]^2=(x²-1)²/x²

x=√3-√2

x²=(√3-√2)(√3-√2)

  =(√9-√6-√6+√4

  =3-2√6+2

  x²= 5-2√6

∴(x²-1)²/x²=[(5-2√6)-1]/(5-2√6)

                 =(5-1-2√6)/(5-2√6)

           [x+1/x]^2      =(4-2√6)/(5-2√6)