Question

If X=2+√3 then find the value of x^2-1/x^2

Answer 1

x = 2+√3

(x² - 1)/x²

=> [(2+√3)² - 1]/(2+√3)²

=> [(2)² + (√3)² + 2×2√3 - 1]/ [(2)² + (√3)² + 2×2×√3]

=> [4 + 3 + 4√3 - 1]/[4 + 3 + 4√3]

=> (6 + 4√3)/(7 + 4√3)

Answer 2

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