Question

Write the following in ascending order:

`5sqrt(7), 7sqrt(5) and 6sqrt(2)`

Answer 1

`5sqrt(7) = sqrt(5^2 xx 7) = sqrt(25 xx 7) = sqrt(175)`
`7sqrt(5) = sqrt(7^2 xx 5) = sqrt(49 xx 5) = sqrt(245)`
`6sqrt(2) = sqrt(6^2 xx 2) = sqrt(36 xx 2) = sqrt(72)` 
Since, 72 < 175 < 245, we have `sqrt(72) < sqrt(175) < sqrt(245)`.
Hence, `6sqrt(2) < 5sqrt(7) < 7sqrt(5)`.