Question
$MF#%\text{If }\dfrac{x}{\sqrt{512}} = \dfrac{\sqrt{648}}{x}\text{, find the value of }x.$MF#%
$MF#%\text{If }\dfrac{x}{\sqrt{512}} = \dfrac{\sqrt{648}}{x}\text{, find the value of }x.$MF#%
Answer: Option A
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Answer : Option A
Explanation :
$MF#%\dfrac{x}{\sqrt{512}} = \dfrac{\sqrt{648}}{x}\\\\
\Rightarrow x^2 = \sqrt{512} \times \sqrt{648} = \sqrt{512 \times 648}
= \sqrt{2 \times 2 \times 2 \times 64 \times 2 \times 2 \times 2 \times 81 } = 2\times 2 \times 2 \times 8 \times 9 \\\\
x = \sqrt{2\times 2 \times 2 \times 8 \times 9} = 2 \times 4 \times 3 = 24$MF#%
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