When multiplying radicals, just take the values inside the radicand and perfom the operation.

Since there is a number outside of the radicand, multiply the outside numbers and then the radicand. 

Since we are dealing with exponents, lets break it down.

Remember to distribute.

When dividing radicals, check the denominator to make sure it can be simplified or that there is a radical present that needs to be fixed. Since there is a radical present, we need to eliminate that radical. However, there is a faster way to possibly elminate the denominator. Let's simplify the numerator.

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The reason I split it up is because I can cancel out the radicals and thus simplifying the question to give final answer of .

When dividing radicals, check the denominator to make sure it can be simplified or that there is a radical present that needs to be fixed. Since there is a radical present, we need to eliminate that radical. However, there is a faster way to possibly elminate the denominator. Let's simplify the numerator.

We still need to eliminate the radical so multiply top and bottom by .

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I would first multiply and put everything under the radical to then figure out what to simplify.

After mulitplying everything together, it should look like:

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Then, simplify.

 is a perfect square, and for every pair of x's, put one on the outside and cross out the pair.

We are left with an answer of:

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If you do not immediately see a perfect square within a number then break it down into smaller numbers. Then select from those a perfect square to be removed. When multiplying radicals it is easiest to start by combining them all under one radical.

combine under one roof:

now break apart each number into its factors

     now you can see perfect squares that were otherwise not there. Remove perfect squares. For example two 2's makes 4 which is a perfect square...

simplify under the radical

 Distribute.  When multiplying radicals, you can combine them and multiply the numbers inside the radical.

Multiply and simplify: . I like to multiply everything and put it all underneath one big radical first: . Then, simplify each term separately.  factors to . When dealing with square roots, for every pair of the same number, you cross the pair out and put one of those numbers outside of the radicals. The loners remain underneath the radical. Therefore, . Do the same with the  and  terms. Therefore, your answer is: .

When dividing radicals, we can try to simplify it by combining the radicals.

When dividing radicals, we can try to simplify it by combining the radicals.

 Remember to factor out the square and that's how you can complete the simplification.