Question

if x=(√3+√2/√3-√2 )^2find x^2+1/x^2

Answer 1

Answer:

2602

Step-by-step explanation:

x = (√3+√2/√3-√2 )²

  = (√3+√2/√3-√2×√3+√2/√3+√2)²

  = (3+2+2√6)²

  = (5+2√6)²

  = 25+24+20√6

  = 49+20√6

1/x = 1/49+20√6

    = 1/(49+20√6)×(49-20√6)/(49-20√6)

    = 49-20√6

(x+1/x)²=(49+20√6+49-20√6)²

x²+1/x²+2 = (98)²

x²+1/x² = 2604-2

x²+1/x² = 2602