Question
Download Solution PDFFind the value of X in the given image.
\(\rm X=\sqrt{587-\sqrt{121}}\div \sqrt{2316-\sqrt{180-\sqrt{1296}}} \)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\rm X=\sqrt{587-\sqrt{121}}\div \sqrt{2316-\sqrt{180-\sqrt{1296}}} \)
Calculation:
⇒ \(\rm X=\sqrt{587- 11}\div \sqrt{2316-\sqrt{180-\sqrt{1296}}} \)
⇒ \(\rm X=\sqrt{587- 11}\div \sqrt{2316-\sqrt{180- 36}} \)
⇒ \(\rm X=\sqrt{576}\div \sqrt{2316-\sqrt{144}} \)
⇒ \(\rm X= 24\div \sqrt{2316- 12} \)
⇒ \(\rm X= 24\div \sqrt{2304} \)
⇒ \(\rm X= 24\div 48 \)
⇒ X = 0.5
∴ The correct answer is option (4).
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