Simple Multiplying Radicals with Variables

Multiplying Radicals

• When multiplying radicals with the same variables follow the following steps:

• Step 1: Multiply the same variables together. *Remember when you multiply the same variables you add the exponents

• Step 2: Simplify if possible ​

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Multiplying radicals with multiple variables inside

• When multiplying radicals with multiple variables follow the following steps:

• Step 1: Multiply the same variables together (x with x, y with y, etc). *Remember when you multiply the same variables you add the exponents

• Step 2: Simplify if possible ​

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​Example

Subject | Subject

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​Multiply numbers together

​Multiply variables together

​Check if you can simplify

​Simplify

​​1. Combine and multiply​

​​2. Check factors and simplify​

Sometimes, multiplying the radicals can result in expressions that can still be simplified.​

If the radicals have coefficients, do the work in two parts:

1. Multiply​ the coefficients.

2. Multiply the radicals.

3. Don't forget to check if you can simplify.​