Question
Download Solution PDF\(\sqrt{1+\sqrt{60+\sqrt{13+\sqrt{9}}}} \) is equal to :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\sqrt{1+\sqrt{60+\sqrt{13+\sqrt{9}}}} \)
Calculation:
\(\sqrt{1+\sqrt{60+\sqrt{13+\sqrt{9}}}} \)
⇒ \(\sqrt{1+\sqrt{60+\sqrt{13+3}}} \)
⇒ \(\sqrt{1+\sqrt{60+\sqrt{16}}} \)
⇒\(\sqrt{1+\sqrt{60+ 4}} \)
⇒\(\sqrt{1+\sqrt{64}} \)
⇒\(\sqrt{1+8} \)
⇒ 3
∴ The correct answer is 3.
Last updated on May 28, 2025
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