When it comes to adding and subtracting square roots, you can only do it if the radicands (the numbers inside), are the same. This boils the question down to:

Now we add the constants, the numbers on the outside, together. The radicands stay the same:

When adding and subtracting radicals, make the sure radicand or inside the square root are the same.

If they are the same, just add the numbers in front of the radical.

Since they are not the same, the answer is just the problem stated.

We can only combine radicals that are similar or that have the same radicand (number under the square root).

Combine like radicals:

We cannot add further.

Note that when adding radicals there is a 1 understood to be in front of the radical similar to how a whole number is understood to be "over 1".

When adding or subtracting radicals, the radicand value must be equal. Since and are not the same, we leave the answer as it is. Answer is .

Adding and subtracting radicals cannot be done without having the same number under the same type of radical. These numbers first need to be simplified so that they have the same number under the radical before adding the coefficients. Look for perfect squares that divide into the number under the radical because those can be simplified.

Now take the square root of the perfect squares. Note that when the numbers come out of the square root they multiply with any coefficients outside that radical.

Since all the terms have the same radical, now their coefficients can be added

Simplify all the radicals to their simplest forms. Use the perfect squares as the factors.

Add the like terms together.

The answer is:

Every radical in this expression is simplified except .

Simplify by rewriting this radical using factors of perfect squares.

Replace the term.

Combine like-terms.

The answer is:

To add or subtract radicals, they must be the same root and have the same number under the radical before combining them. Look for perfect squares that divide into the number under the radicals because those can be simplified.

Take the square roots of each of the perfect squares in these radicals and bring it out of the radical. It will multiply to any coefficient in front of that radical

Since they share the same radicand, we can add them easily. We just add the coefficients in front of the radical. So our answer is .

Since the radicand are the same, we can subtract with the coefficients. Since is greater than and is negative, our answer is negative. We treat as a subtraction problem. Answer is .