Question
$MF#%\text{If }3\sqrt{5} + \sqrt{125}\text{ = 17.88, then what will be the value of }\sqrt{80} + 16\sqrt{5}?$MF#%
$MF#%\text{If }3\sqrt{5} + \sqrt{125}\text{ = 17.88, then what will be the value of }\sqrt{80} + 16\sqrt{5}?$MF#%
Answer: Option D
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Answer : Option D
Explanation :
$MF#%\begin{align}&3\sqrt{5} + \sqrt{125}= 17.88\\\\
&\Rightarrow 3\sqrt{5} + \sqrt{25 \times 5}= 17.88\\\\
&\Rightarrow 3\sqrt{5} + 5\sqrt{5}= 17.88\\\\
&\Rightarrow 8\sqrt{5}= 17.88\\\\
&\Rightarrow \sqrt{5}= \dfrac{17.88}{8} = 2.235\\\\\\\\
&\sqrt{80} + 16\sqrt{5}= \sqrt{16 \times 5} + 16\sqrt{5} \\\\&= 4\sqrt{5} + 16\sqrt{5}= 20\sqrt{5} = 20 \times 2.235 = 44.7\end{align}$MF#%
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