Question
$MF#%\text{What is the difference between }(\sqrt{18}+\sqrt{3})\text{ and }(2+\sqrt{12})$MF#%
$MF#%\text{What is the difference between }(\sqrt{18}+\sqrt{3})\text{ and }(2+\sqrt{12})$MF#%
Answer: Option C
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Answer : Option C
Explanation :
$MF#%\text{Difference = }(\sqrt{18}+\sqrt{3}) - (\sqrt{2}+\sqrt{12})\\\
= (\sqrt{2 \times 9}+\sqrt{3}) - (\sqrt{2}+\sqrt{3 \times 4})\\\\
= (3\sqrt{2}+\sqrt{3}) - (\sqrt{2}+2\sqrt{3}) \\\\
= 3\sqrt{2}+\sqrt{3} -\sqrt{2} - 2\sqrt{3}\\\\
= 2\sqrt{2} - \sqrt{3}$MF#%
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