Why can you not add #2sqrt2# and #4sqrt3# together?
In order to add square roots and keep them in square root form, they must have the same radicand (number under the radical). Since
If you use a calculator,
You can add the numbers. But any attempt to write the sum as single whole number times a single root of a whole number will not work.
You could write the sum as
You could 'irrationalize' denominators and write:
You could continue by getting a common denominator.
But none of these are simpler in any clear way.