# Why can you not add #2sqrt2# and #4sqrt3# together?

##### 2 Answers

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.