| Let \[a=\sqrt{6}=\sqrt{5},\]\[b=\sqrt{5}-2,\]\[c=2-\sqrt{3}.\] If \[\sqrt{6}=2\cdot 44,\]\[\sqrt{5}=2.23\]and \[\sqrt{3}=1.73,\] then point out the correct alternative among the four alternatives given below. [SSC (10+2) 2013] |
A) \[a<c<b\]
B) \[b<c<a\]
C) \[a<b<c\]
D) \[b<a<c\]
Correct Answer: C
Solution :
| \[a=\sqrt{6}-\sqrt{5}\] |
| \[=2.44-2.23=0.21\] |
| \[b=\sqrt{5}-2\] |
| \[=2.23-2=0.23\] |
| \[c=2-\sqrt{3}\] |
| \[=2-1.73=0.27\] |
| Clearly, \[a<b<c\] |
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