If\[{{(1101)}^{2}}=1212201,\]find the value of\[\sqrt{121.2201}\] [SSC (CGL) 2012] |
A) 110.1
B) 11.01
C) 1.101
D) 11.001
Correct Answer: B
Solution :
In this kind of question, first we convert the decimal number into decimal fraction. |
Given, \[{{(1101)}^{2}}=1212201\] |
Now, \[\sqrt{121.2201}=\sqrt{\frac{1212201}{10000}}\] |
We know that,\[\sqrt{10000}=100,\] |
So, \[\frac{1}{100}\sqrt{1212201}=\frac{1101}{100}=11.01\] |
[\[\because \]given, \[1101=\sqrt{1212201}\] |
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