Rajasthan BoardEnglish MediumSTD 9MATHSNumber systems1 Mark
Question
If $\text{x}=3+2\sqrt{2},$ than the value of $\text{x}+\frac{1}{\text{x}}$ is:
✓
Answer
6 Solution: $\text{x}+\frac{1}{\text{x}}$ $\Rightarrow\frac{\text{x}^2+1}{\text{x}}$ Put the value of x, $\Rightarrow\frac{(3+2\sqrt{2})^2+1}{3+2\sqrt{2}}$ $\Rightarrow\frac{9+8+12\sqrt{2}+1}{3+2\sqrt{2}}$ $\Rightarrow\frac{18+12\sqrt{2}}{3+2\sqrt{2}}$ $\Rightarrow\frac{6(3+2\sqrt{2})}{3+2\sqrt{2}}$ $\Rightarrow6$
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