Astronomy
Answer to study guide:
https://msthomastro.weebly.com/
Foundations of Algebra
Here are the steps required for Multiplying Radicals With More Than One Term:
Step 1: | Distribute (or FOIL) to remove the parenthesis. Remember that you can multiply numbers outside the radical with numbers outside the radical and numbers inside the radical with numbers inside the radical, assuming the radicals have the same index. |
Step 2: | Simplify the radicals. Click here to review the steps for Simplifying Radicals. |
Step 3: | Combine like terms. Remember that in order to add or subtract radicals the radicals must be exactly the same. |
Example 1 – Multiply:
Step 1: Distribute (or FOIL) to remove the parenthesis. Remember that you can multiply numbers outside the radical with numbers outside the radical and numbers inside the radical with numbers inside the radical, assuming the radicals have the same index. |
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Step 2: Simplify the radicals. |
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Step 3: Combine like terms. Remember that in order to add or subtract radicals the radicals must be exactly the same. In this case, there are no like terms. |
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Example 2 – Multiply:
Step 1: Distribute (or FOIL) to remove the parenthesis. Remember that you can multiply numbers outside the radical with numbers outside the radical and numbers inside the radical with numbers inside the radical, assuming the radicals have the same index. |
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Step 2: Simplify the radicals. |
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Step 3: Combine like terms. Remember that in order to add or subtract radicals the radicals must be exactly the same. In this case, there are no like terms. |
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Example 3 – Multiply:
Step 1: Distribute (or FOIL) to remove the parenthesis. Remember that you can multiply numbers outside the radical with numbers outside the radical and numbers inside the radical with numbers inside the radical, assuming the radicals have the same index. |
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Step 2: Simplify the radicals. |
|
Step 3: Combine like terms. Remember that in order to add or subtract radicals the radicals must be exactly the same. |
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Example 4 – Multiply:
Step 1: Distribute (or FOIL) to remove the parenthesis. Remember that you can multiply numbers outside the radical with numbers outside the radical and numbers inside the radical with numbers inside the radical, assuming the radicals have the same index. |
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Step 2: Simplify the radicals. |
|
Step 3: Combine like terms. Remember that in order to add or subtract radicals the radicals must be exactly the same. |
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Example 5 – Multiply:
Step 1: Distribute (or FOIL) to remove the parenthesis. Remember that you can multiply numbers outside the radical with numbers outside the radical and numbers inside the radical with numbers inside the radical, assuming the radicals have the same index. |
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Step 2: Simplify the radicals. |
|
Step 3: Combine like terms. Remember that in order to add or subtract radicals the radicals must be exactly the same. |
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Example 6 – Multiply:
Step 1: Distribute (or FOIL) to remove the parenthesis. Remember that you can multiply numbers outside the radical with numbers outside the radical and numbers inside the radical with numbers inside the radical, assuming the radicals have the same index. |
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Step 2: Simplify the radicals. |
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Step 3: Combine like terms. Remember that in order to add or subtract radicals the radicals must be exactly the same. |
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Source:http://www.mesacc.edu/~scotz47781/mat120/notes/radicals/multiplying/more_than_one_term/mult_rad_more_than_1.html
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