Question

$if \: x \: = \: (2 + \sqrt{5} ) \: then,find \: the \: value \: of \: x \: + \frac{1}{x}$
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Answer 1

Answer:

2√5

Step-by-step explanation:

x=(2+√5)

x+1/x

(x²+1)/x

[(2+√5)²+1]/(2+√5)

(4+5+2×2×√5+1)/2+√5

(10+4√5)/2+√5

2√5(√5+2)/(2+√5)

=2√5