Here are the steps required for Adding and Subtracting Radicals:

Step 1: Simplify each radical. Click here to review the steps for Simplifying Radicals.
Step 2: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

Example 1 – Simplify: Example 1

Step 1: Simplify each radical.
Step 1
Step 2: Add or subtract the radicals. Remember that we can only combine like radicals.
Step 2

Example 2 – Simplify: Example 2

Step 1: Simplify each radical.
Step 1
Step 2: Add or subtract the radicals. Remember that we can only combine like radicals.
Step 2

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Example 3 – Simplify: Simplify: Example 3

Step 1: Simplify each radical.
Step 1
Step 2: Add or subtract the radicals. Remember that we can only combine like radicals.
Step 2

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Example 4 – Simplify: Simplify: Example 4

Step 1: Simplify each radical.
Step 1
Step 2: Add or subtract the radicals. Remember that we can only combine like radicals.
Step 2

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Example 5 – Simplify: Simplify: Example 5

Step 1: Simplify each radical.
Step 1
Step 2: Add or subtract the radicals. Remember that we can only combine like radicals.
Step 2

Click Here for Practice Problems