| The value of\[\sqrt{\frac{{{(0.03)}^{2}}+{{(0.21)}^{2}}+{{(0.065)}^{2}}}{{{(0.003)}^{2}}+{{(0.021)}^{2}}+{{(0.0065)}^{2}}}}\]is |
A) 0.1
B) 10
C) \[{{10}^{2}}\]
D) \[{{10}^{3}}\]
Correct Answer: B
Solution :
| \[\sqrt{\frac{{{(0.3)}^{2}}+{{(0.21)}^{2}}+{{(0.065)}^{2}}}{\frac{{{(0.03)}^{2}}}{{{10}^{2}}}+\frac{{{(0.21)}^{2}}}{{{10}^{2}}}+\frac{{{(0.065)}^{2}}}{{{10}^{2}}}}}\] |
| \[=\sqrt{100\times \frac{[{{(0.03)}^{2}}+{{(0.21)}^{2}}+{{(0.065)}^{2}}]}{[{{(0.03)}^{2}}+{{(0.21)}^{2}}+{{(0.065)}^{2}}]}}=\sqrt{100}=10\] |
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