Find the value of X in the given image.

$X = \sqrt{587 - \sqrt{121}} \div \sqrt{2316 - \sqrt{180 - \sqrt{1296}}}$

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UP Police SI (दरोगा) Official PYP (Held On: 12 Nov 2021 Shift 2)

Answer 1

Given:

$X = \sqrt{587 - \sqrt{121}} \div \sqrt{2316 - \sqrt{180 - \sqrt{1296}}}$

Calculation:

⇒ $X = \sqrt{587 - 11} \div \sqrt{2316 - \sqrt{180 - \sqrt{1296}}}$

⇒ $X = \sqrt{587 - 11} \div \sqrt{2316 - \sqrt{180 - 36}}$

⇒ $X = \sqrt{576} \div \sqrt{2316 - \sqrt{144}}$

⇒ $X = 24 \div \sqrt{2316 - 12}$

⇒ $X = 24 \div \sqrt{2304}$

⇒ $X = 24 \div 48$

⇒ X = 0.5

∴ The correct answer is option (4).

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