Question
Download Solution PDFEvaluate:
\(\sqrt{42 + \sqrt{40 + \sqrt{74 + \sqrt{42 + \sqrt{49}}}}}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExpression: \(\sqrt{42 + \sqrt{40 + \sqrt{74 + \sqrt{42 + \sqrt{49}}}}}\)
Calculation:
\(\sqrt{42 + \sqrt{40 + \sqrt{74 + \sqrt{42 + \sqrt{49}}}}}\)
⇒ \(\sqrt{42 + \sqrt{40 + \sqrt{74 + \sqrt{42 + 7}}}}\)
⇒ \(\sqrt{42 + \sqrt{40 + \sqrt{74 + \sqrt{49}}}}\)
⇒ \(\sqrt{42 + \sqrt{40 + \sqrt{74 + 7}}}\)
⇒ \(\sqrt{42 + \sqrt{40 + \sqrt{81}}}\)
⇒ \(\sqrt{42 + \sqrt{40 + 9}}\)
⇒ \(\sqrt{42 + \sqrt{49}}\)
⇒ \(\sqrt{42 + 7}\)
⇒ \(\sqrt{49} = 7\)
The value of the expression is 7.
Last updated on Jul 16, 2025
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