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Write in Ascending Order : 6√5, 7√3, and 8√2 - Mathematics

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Question

Write in ascending order : 6√5, 7√3, and 8√2

Sum

Solution

6√5 = `sqrt(6^2 xx 5) = sqrt180`

7√3 = `sqrt(7^2 xx 3) = sqrt147`

8√2 = `sqrt(8^2 xx 2) = sqrt128`

and 128 < 147 < 180

∴ √128 < √147 < √180

⇒ 8√2 < 7√3 < 6√5

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Concept of Real Numbers
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Chapter 1: Rational and Irrational Numbers - Exercise 1 (B) [Page 14]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (B) | Q 13.3 | Page 14
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