Question
If \(3\sqrt{5}+\sqrt{125} = 17.88\) , then what will be the value of \(\sqrt{80}+6\sqrt{5}?\)
Answer: Option D
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\(3\sqrt{5}+\sqrt{125} = 17.88\)
\(\Rightarrow 3\sqrt{5}+\sqrt{25\times5} = 17.88\)
\(\Rightarrow 3\sqrt{5}+5\sqrt{5} = 17.88\)
\(\Rightarrow8\sqrt{5} = 17.88\)
\(\Rightarrow \sqrt{5}=2.235\)
\(\therefore \sqrt{80}+6\sqrt{5} =\sqrt{16\times5}+6\sqrt{5}\)
\(= 4\sqrt{5}+6\sqrt{5}\)
\(= 10\sqrt{5} = (10\times2.235)=22.35\)
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