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This question belongs to Arithmetic Ability Simplification
Simplification
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Find the value of, $$\sqrt {4 + \sqrt {44 + \sqrt {10000} } } $$

Answer & Solution
Correct Answer: Option C
$$\eqalign{ & {\text{According to the question,}} \cr & \sqrt {4 + \sqrt {44 + \sqrt {10000} } } \cr & \Rightarrow \sqrt {4 + \sqrt {44 + 100} } \cr & \Rightarrow \sqrt {4 + \sqrt {144} } \cr & \Rightarrow \sqrt {4 + 12} \cr & \Rightarrow \sqrt {16} \cr & \Rightarrow 4 \cr} $$
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1 Comment
Shweta Wadhwane
Shweta Wadhwane 5 years ago

According to the question,4+44+10000−−−−−√−−−−−−−−−−√−−−−−−−−−−−−−−−√⇒4+44+100−−−−−−−√−−−−−−−−−−−−√⇒4+144−−−√−−−−−−−−√⇒4+12−−−−−√⇒16−−√⇒4