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$MF#%\text{What is the difference between }(\sqrt{18}+\sqrt{3})\text{ and }(2+\sqrt{12})$MF#%
Options:
A .  3√2 - 2√3
B .  âˆš2 - 2√3
C .  2√2 - √3
D .  2√2 + √3
Answer: Option C

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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