Why mathematicians use radicals instead of decimals? for instance: √350 in exact form is: 5√14 , while in decimals its: 18.708 so why not use 18.708 over 5√14 since both will yield the same result?

Mathematicians use radicals instead of decimals to provide a more accurate answer. For example, √14 would be a never ending decimal, but rounded it would be 3.74165738677. So do most imperfect squares such as √2 or √8. To get a more accurate number for an answer, it is better to use radicals as rounded numbers would not get the exact answer.

john earns $14.00 for two hours of work.