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What should come in place of question mark '?' in the following question?
\(\sqrt {17 + \sqrt {51 + \sqrt {152 + \sqrt {289} } } } = ?\)
\(\sqrt {17 + \sqrt {51 + \sqrt {152 + \sqrt {289} } } } = ?\)
- A10
- B9
- C8
- D7
Answer not set
Discussion 1
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CCommunity
Given expression is:
$(\sqrt {17 + \sqrt {51 + \sqrt {152 + \sqrt {289} } } } = ?)$
$(\begin{array}{l} \Rightarrow \sqrt {17 + \sqrt {51 + \sqrt {152 + 17} } } = ?\\ \Rightarrow \sqrt {17 + \sqrt {51 + \sqrt {169} } } = ?\\ \Rightarrow \sqrt {17 + \sqrt {51 + 13} } = ?\\ \Rightarrow \sqrt {17 + \sqrt {64} } = ?\\ \Rightarrow \sqrt {17 + 8} = ?\\ \Rightarrow \sqrt {25} = ?\\ \Rightarrow ? = 5 \end{array})$
$(\sqrt {17 + \sqrt {51 + \sqrt {152 + \sqrt {289} } } } = ?)$
$(\begin{array}{l} \Rightarrow \sqrt {17 + \sqrt {51 + \sqrt {152 + 17} } } = ?\\ \Rightarrow \sqrt {17 + \sqrt {51 + \sqrt {169} } } = ?\\ \Rightarrow \sqrt {17 + \sqrt {51 + 13} } = ?\\ \Rightarrow \sqrt {17 + \sqrt {64} } = ?\\ \Rightarrow \sqrt {17 + 8} = ?\\ \Rightarrow \sqrt {25} = ?\\ \Rightarrow ? = 5 \end{array})$