Question

If x = √5 + 2 find 1/x 9th grade
Number system

Answer 1

$x = \sqrt{5} + 2 \\ \frac{1}{x} = \frac{1}{ \sqrt{5} + 2 } \\ by \: rationalising \: it \\ \frac{1}{x} = \frac{1}{ \sqrt{5} + 2 } \times \frac{ \sqrt{5} - 2 }{ \sqrt{5} - 2 } \\ \frac{1}{x} = \frac{ \sqrt{5} - 2 }{1}$

Therefore, 1/x = √5 -2

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