?
$$\frac{{\sqrt {10 + \sqrt {25 + \sqrt {108 + \sqrt {154 + \sqrt {225} } } } } }}{{\root 3 \of 8 }} $$ = ?
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& \frac{{\sqrt {10 + \sqrt {25 + \sqrt {108 + \sqrt {154 + \sqrt {225} } } } } }}{{\root 3 \of 8 }} \cr
& \Rightarrow \frac{{\sqrt {10 + \sqrt {25 + \sqrt {108 + \sqrt {169} } } } }}{2} \cr
& \Rightarrow \frac{{\sqrt {10 + \sqrt {25 + \sqrt {121} } } }}{2} \cr
& \Rightarrow \frac{{\sqrt {10 + \sqrt {36} } }}{2} \cr
& \Rightarrow \frac{{\sqrt {16} }}{2} \cr
& \Rightarrow \frac{4}{2} \cr
& \Rightarrow 2 \cr} $$
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