Question
Download Solution PDFEvaluate
\(\sqrt{(5+\sqrt{(11+\sqrt{(19+\sqrt{(29+\sqrt{(49)})})})}}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\sqrt{(5+\sqrt{(11+\sqrt{(19+\sqrt{(29+\sqrt{(49)})})})})} \)
Formula used:
Sequentially evaluate the square roots from the innermost term.
Calculation:
⇒ \(\sqrt{49}\) = 7
⇒ \(\sqrt{(29+7)}\) = \(\sqrt{36}\) = 6
⇒ \(\sqrt{(19+6)}\) = \(\sqrt{25}\) = 5
⇒ \(\sqrt{(11+5)}\) = \(\sqrt{16}\) = 4
⇒ \(\sqrt{(5+4)}\) = \(\sqrt{9}\) = 3
∴ The correct answer is option (3).
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