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

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Quadratic Formula

If a = 3+2√2,...

Question

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

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Solution

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If a = 2, b = − 2, find the value of:

(i) a²+ b² (ii) a² + ab + b² (iii) a² − b²

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

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

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

a = 3 + 2 \sqrt{2}

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

\sqrt{2}

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

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