Question

If x = 2 + √3, then x + 1 upon x is
(b) 2√3
(a) 4
(c) 2 - √3
(d) 4 + √3​

Answer 1

Answer:

Option (a) is correct

Step-by-step explanation:

$x = 2+\sqrt{3}\:---(1)$

$\frac{1}{x}=\frac{1}{2+\sqrt{3}}\\=\frac{2-\sqrt{3}}{(2+\sqrt{3})(2-\sqrt{3})}\\=\frac{2-\sqrt{3}}{(2^{2}-(\sqrt{3})^{2}}\\=\frac{2-\sqrt{3}}{4-3}\\=2-\sqrt{3}\:--(2)$

$Now,\\x+\frac{1}{x}\\=2+\sqrt{3}+2-\sqrt{3}\\=4$

Therefore,

$x+\frac{1}{x}=4$

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Answer 2

Answer:

Step-by-step explanation: