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Question

$MF#%\left(\sqrt{7} - \dfrac{1}{\sqrt{7}}\right)^2\text{ simplifies to:}$MF#%
Options:
A .  $MF#%\dfrac{36}{\sqrt{7}}$MF#%
B .  $MF#%\dfrac{7}{36}$MF#%
C .  $MF#%\dfrac{36}{7}$MF#%
D .  $MF#%\dfrac{7}{\sqrt{36}}$MF#%
Answer: Option C

Answer : Option C

Explanation :

$MF#%\left(\sqrt{7} - \dfrac{1}{\sqrt{7}}\right)^2 = \left(\sqrt{7}\right)^2 - 2 \times \sqrt{7} \times \dfrac{1}{\sqrt{7}} + \left(\dfrac{1}{\sqrt{7}}\right)^2 \\\\ = 7 - 2 + \dfrac{1}{7} = 5 + \dfrac{1}{7} = \dfrac{36}{7}$MF#%



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