Question

if x=3+√8 then find value of x²-1/x²​

Answer 1

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Step by step solution:

$Given \ x=3+\sqrt{8}\\\\Now \ rationalize \ it \ we \ get\\\\\frac{1}{x}=3-\sqrt{8}\\\\On \ subtracting \ both\\\\now \ x^2=9+8+6\sqrt{8}=17+6\sqrt{8}\\\\\frac{1}{x^2}=9+8-6\sqrt{8}=17-6\sqrt{8}\\\\x^2-\frac{1}{x^2}=17+6\sqrt{8}-17+6\sqrt{8}\\\\x^2-\frac{1}{x^2}=12\sqrt{8}$

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