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Question
Write in ascending order : 6√5, 7√3 and 8√2
Solution
`6sqrt5 = sqrt( 6^2 xx 5 ) = sqrt180`
`7sqrt3 = sqrt( 7^2 xx 3 ) = sqrt147`
`8sqrt2 = sqrt( 8^2 xx 2 ) = sqrt 128`
and 128 < 147 < 180
∴ `sqrt128 < sqrt147 < sqrt180`
⇒ `8sqrt2 < 7sqrt3 < 6sqrt5`
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