If a - 3-2-2- find the value of a2-1-a2- -3 Marks-

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Sum of Infinite Terms of a GP

If a = 3+2√2,...

Question

If a = 3+2 $\sqrt{2}$ , find the value of $a^{2} + \frac{1}{a^{2}}$ .

[3 Marks]

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a = \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}} a n d b = \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}},

a^{2} + b^{2} - 5 a b

\sqrt{2}

a^{2} + \frac{1}{a^{2}}

a = \frac{3 + \sqrt{5}}{2}

a^{2} + \frac{1}{a^{2}}

a = 2 + \sqrt{3}

a^{2} + \frac{1}{a^{2}}

a = \frac{3 + \sqrt{5}}{2}

a^{2} + \frac{1}{a^{2}}

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