A) An integer
B) A rational number
C) An irrational number
D) A natural number.
Correct Answer: B
Solution :
(b): \[5.67\overline{23}\text{ }=5.67+.00\overline{23}\] \[\therefore 5.67\overline{23}\text{ }=\frac{567}{100}+\frac{23}{9900}\] which is a rational number. \[\frac{1}{\sqrt{2}+1}\times \frac{\sqrt{2}-1}{\sqrt{2}-1}+\frac{1}{\sqrt{3}+\sqrt{2}}\times \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}\] \[+\frac{1}{\sqrt{4}+\sqrt{3}}\times \frac{\sqrt{4}-\sqrt{3}}{\sqrt{4}-\sqrt{3}}......=1\]
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