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Question
Write the following in ascending order:
`2sqrt(5), sqrt(3) and 5sqrt(2)`
Solution
`2sqrt(5) = sqrt(2^2 xx 5) = sqrt(4 xx 5) = sqrt(20)`
`sqrt(3) = sqrt(3)`
`5sqrt(2) = sqrt(5^2 xx 2) = sqrt(25 xx 2) = sqrt(50)`
Since, 3 < 20 < 50, we have `sqrt(3) < sqrt(20) < sqrt(50)`.
Hence, `sqrt(3) < sqrt(2) < 5sqrt(2)`.
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