Question

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

Answer 1

`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`