| If \[\sqrt{4096}=64,\]then value of \[\sqrt{40.96}+\sqrt{0.4096}+\sqrt{0.004096}+\sqrt{0.00004096}\]is |
| [SSC (FCI) 2012, (CGL) 2005, 2002] |
A) 7.09
B) 7.1014
C) 7.1104
D) 7.12
Correct Answer: C
Solution :
| In this kind of question, first we convert the decimal number in decimal fraction. |
| Given, \[\sqrt{4096}=64\] |
| Now,\[\sqrt{40.96}+\sqrt{04096}+\sqrt{0.004096}+\sqrt{0.00004096}\] |
| \[=\sqrt{\frac{4096}{100}}+\sqrt{\frac{4096}{10000}}+\sqrt{\frac{4096}{1000000}}+\sqrt{\frac{4096}{100000000}}\]\[\Rightarrow \]\[\frac{64}{10}+\frac{64}{100}+\frac{64}{1000}+\frac{64}{10000}\] |
| \[=6.4+0.64+0.064+0.0064\] |
| \[=7.1104\] |
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