Question
If $$3\sqrt 5 + \sqrt {125} $$ = 17.88, then what will be the value of $$\sqrt {80} + 6\sqrt 5 \,\,?$$
Answer: Option D
$$\eqalign{
& 3\sqrt 5 + \sqrt {125} = 17.88 \cr
& \Rightarrow 3\sqrt 5 + \sqrt {25 \times 5} = 17.88 \cr
& \Rightarrow 3\sqrt 5 + 5\sqrt 5 = 17.88 \cr
& \Rightarrow 8\sqrt 5 = 17.88 \cr
& \Rightarrow \sqrt 5 = 2.235 \cr
& \therefore \sqrt {80} + 6\sqrt 5 = \sqrt {16 \times 5} + 6\sqrt 5 \cr
& = 4\sqrt 5 + 6\sqrt 5 \cr
& = 10\sqrt 5 = \left( {10 \times 2.235} \right) = 22.35 \cr} $$
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$$\eqalign{
& 3\sqrt 5 + \sqrt {125} = 17.88 \cr
& \Rightarrow 3\sqrt 5 + \sqrt {25 \times 5} = 17.88 \cr
& \Rightarrow 3\sqrt 5 + 5\sqrt 5 = 17.88 \cr
& \Rightarrow 8\sqrt 5 = 17.88 \cr
& \Rightarrow \sqrt 5 = 2.235 \cr
& \therefore \sqrt {80} + 6\sqrt 5 = \sqrt {16 \times 5} + 6\sqrt 5 \cr
& = 4\sqrt 5 + 6\sqrt 5 \cr
& = 10\sqrt 5 = \left( {10 \times 2.235} \right) = 22.35 \cr} $$
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