In order to add or subtract, first simplify each radical completely. If the remaining number under the square root sign is the same for both numbers they can be added- much like with variables.

For this problem, it goes as follows:

In order to add, first simplify the first radical as follows:

Since the radicals are the same, treat them like variables and add the "coefficients" in from of them to solve.

The first two terms are already in simplified form because the number in the radical cannot be broken down into numbers that have pairs.

We will only need to break down the last term...

We then replace in the original equation with what we just calculated:

Add common terms, and then we have our final answer...

We can solve this by simplifying the radicals first:

Plugging this into the equation gives us:

In order to multiply radicals, first rewrite the problem as follows:

This follows a basic property of radical multiplication.

Next simply inside the radical:

Since 100 is a perfect square the final answer to the problem is 10.

In order to add or subtract, first simplify each radical completely. If the remaining number under the square root sign is the same for both numbers they can be added- much like with variables.

For this problem, it goes as follows:

In order to add, first simplify each radical as follows:

Since the radicals are the same, treat them like variables and add the "coefficients" in from of them to solve.

To simplify radicals, you must have common numbers on the inside of the square root. Don't be fooled. There is no way to simplify any of these, so your answer is simply:

In order to add or subtract, first simplify each radical completely. If the remaining number under the square root sign is the same for both numbers they can be added- much like with variables.

For this problem, it goes as follows:

Both radicals are completely simplified, but their bases are not the same. This means we get a final answer of

In order to add or subtract, first simplify each radical completely. If the remaining number under the square root sign is the same for both numbers they can be added- much like with variables.

For this problem, it goes as follows:

Because both of these radicals are perfect squares, this becomes a simple problem.

First, simplify to .

Then set up the multiplication problem:

.

Multiply the terms outside of the radical, then the terms under the radical:

then simplfy:

The radical is still not in its simplest form and must be reduced further:

. This is the radical in its simplest form.