Question

If a=5+2✓6 and b=1/a then what will be the valie of a2+b2

Answer 1

${a}^{2} = ( {5 + 2 \sqrt{6}) }^{2} \\ = 25 + 24 + 20 \sqrt{6} \\ = 49 + 20 \sqrt{6}$
${b}^{2} = { (\frac{1}{a}) }^{2} = \frac{1}{ {a}^{2} } \\ {a}^{2} + {b}^{2} = 49 + 20 \sqrt{6} + \frac{1}{ {a}^{2} }$