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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
If $\text{x}=(7+4\sqrt{3})$ than $\Big(\text{x}+\frac{1}{\text{x}}\Big)=?$
  • A
    49
  • B
    14
  • C
    48
  • D
    $8\sqrt{3}$ 
✓

Answer

b. 14

Solution :

$\text{x}=(7+4\sqrt{3})$
$\frac{1}{\text{x}}=\frac{1}{7+4\sqrt{3}}=(7-4\sqrt{3})$
$\text{x}+\frac{1}{\text{x}}=(7+4\sqrt{3})+(7-4\sqrt{3})$
$=14$

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