Algebra II : Simplifying Radicals
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Example Questions
Example Question #111 : Simplifying Radicals
Simplify
To simplify, you must use the Law of Exponents.
First you must multiply the coefficients then add the exponents:
Example Question #112 : Simplifying Radicals
What is the product of 
First, simplify 
Then set up the multiplication problem:
Multiply the terms outside of the radical, then the terms under the radical:
The radical is still not in its simplest form and must be reduced further:
Example Question #113 : Simplifying Radicals
Simplify
To divide the radicals, simply divide the numbers under the radical and leave them under the radical:
Then simplify this radical:
Example Question #114 : Simplifying Radicals
Solve and simplify.
When multiplying radicals, just take the values inside the radicand and perfom the operation.
Example Question #11 : Multiplying And Dividing Radicals
Solve and simplify.
When multiplying radicals, just take the values inside the radicand and perfom the operation.
In this case, we have a perfect square so simplify that first.
Then, take that answer and multiply that with 
Example Question #12 : Multiplying And Dividing Radicals
Solve and simplify.
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. To do this, we multiply both top and bottom by 
With the denominator being 
Example Question #12 : Multiplying And Dividing Radicals
Solve and simplify.
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.
Both 
Final answer is
Example Question #11 : Multiplying And Dividing Radicals
Solve and simplify.
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.
Example Question #112 : Simplifying Radicals
Solve and simplify.
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.
Before we say that's the final answer, check the radicand to see that there are no square numbers that can be factored. A 
Therefore, our answer becomes
Example Question #12 : Multiplying And Dividing Radicals
Solve and simplify.
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.
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