If $$2 + x\sqrt 3 $$ = $$\frac{1}{{2 + \sqrt 3 }}{\text{,}}$$ then the simplest value of x is?
A. 1
B. -2
C. 2
D. -1
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{If }}2 + x\sqrt 3 = \frac{1}{{2 + \sqrt 3 }} \cr & {\text{Find }}x = ? \cr & \Rightarrow 2 + x\sqrt 3 = \frac{1}{{2 + \sqrt 3 }} \cr & \Rightarrow 2 + x \times \sqrt 3 = \frac{{2 - \sqrt 3 }}{1} \cr & \Rightarrow 2 + x\sqrt 3 = 2 - \sqrt 3 \cr & \Rightarrow x = - 1 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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