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Mathematics

Evaluate:

248+52+144\sqrt{248 + \sqrt{52 +\sqrt{144}}}

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Answer

248+52+144=248+52+12=248+64=248+8=256=16\sqrt{248 + \sqrt{52 +\sqrt{144}}}\\[1em] = \sqrt{248 + \sqrt{52 +12}}\\[1em] = \sqrt{248 + \sqrt{64}}\\[1em] = \sqrt{248 + 8}\\[1em] = \sqrt{256}\\[1em] = 16

248+52+144=16\sqrt{248 + \sqrt{52 +\sqrt{144}}} = 16

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