Question

if x=√3+2√2, then find the value of x²+1/x² is equal to
(a). 6
(b). 1
(c). 8
(d). 2√2​

Answer 1

Answer:

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Step-by-step explanation:

$x = \sqrt{3} + 2 \sqrt{2} \\ therefore \\ \frac{1}{x} = \frac{1}{ \sqrt{3} - 2 \sqrt{2} } \\ = \frac{ \sqrt{3} - 2 \sqrt{2} }{( \sqrt{3} + 2 \sqrt{2})( \sqrt{3} - 2 \sqrt{2} ) } \\ = \frac{ (\sqrt{3} - 2 \sqrt{2} ) }{( \sqrt{3}) {}^{2} - (2 \sqrt{2}) {}^{2} } \\ = \frac{\sqrt{3} - 2 \sqrt{2} }{3 - 8} \\ = \frac{\sqrt{3} - 2 \sqrt{2} }{ - 5}$

Now,