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Question
Evaluate: `sqrt(248 + sqrt(52 + sqrt(144)`
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Solution
`sqrt(248 + sqrt(52 + sqrt(144)`
= `sqrt(248 + sqrt(52 + 12)) ...(∵ sqrt144 = 12)`
= `sqrt(248 + sqrt64)`
= `sqrt(248 + 8) ...(∵ sqrt(64) = 8)`
= `sqrt(256) = 16 ...(∵ sqrt(256) = sqrt(16 xx 16) = 16)`
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