A) \[\sqrt{4}=2\]
B) \[\sqrt{2},\sqrt{5},\sqrt{6},2\sqrt{3},5\sqrt{7},\sqrt{2}+\sqrt{3},\]
C) \[\sqrt[3]{2},\sqrt[3]{3},\sqrt[3]{4},\]
D) \[2+\sqrt{3}\]
Correct Answer: C
Solution :
Let \[y=3.\overline{25}=3.25252525\] \[a\times (b+c)=a\times b+a\times c\] \[(b+c)\times a=b\times a+c\times a\] \[3=\frac{3}{1}\] \[0=\frac{0}{1}\] \[\Rightarrow \]\[y-3=0.25+\frac{y-3}{100}\] \[\Rightarrow \]\[100y-300=25+y-3\] \[\Rightarrow \]\[99y=322\] \[\Rightarrow \]\[y=\frac{322}{99}\]
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