Evaluate: Sqrt(248 + Sqrt(52 + Sqrt(144) - Mathematics

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Sum

Evaluate: `sqrt(248 + sqrt(52 + sqrt(144)`

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Solution

`sqrt(248 + sqrt(52 + sqrt(144)`


= `sqrt(248 + sqrt(52 + sqrt(12)))    ...(∵ sqrt144 = 12)`


= `sqrt(248 + sqrt64)`


= `sqrt(248 + 8)            ...(∵ sqrt(64) = 8)`


= `sqrt(256) = 16     ...(∵  sqrt(256) = sqrt(16 xx 16) = 16)`

Concept: Concept of Square Roots
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (A) | Q 7.5 | Page 38
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