Verified answer

The expression √50 is = √(25 * 2) which is equal to √25 * √2

I think you can figure the rest out.

For your second question, it is important to note, that while you can always multiply 2 square roots, you can only add them if the numbers being squarerooted are equal.

Also, you need to understand that say, 6√2 is the same thing as 6 * √2 or √2 +√2 +√2 +√2 +√2 +√2

For example, √3 can not be added to √2, but √3 can be added to √3. What do you get when you add 2 of the same thing? 2 * the thing! or in this case, 2 * √3 or 2√3.

So for your second problem, you are going to have to simplify the √32 by doing the same thing I did for the √50 in your first problem and breaking it up. After that, make sure that the number under the square root signs are the same so you can add them.