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Explain the differences between adding and multiplying radical expressions. Create an example of each:

User Lindlof
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Final answer:

When adding radical expressions, combine like terms by adding or subtracting the coefficients. When multiplying radical expressions, multiply the coefficients and multiply the radicands.

Step-by-step explanation:

When adding radical expressions, it is important to combine like terms that have the same radical. To do this, add or subtract the coefficients of the radicals while keeping the radical the same. For example, if you have √5 + 2√5, you can add the coefficients to get 3√5.

On the other hand, when multiplying radical expressions, you can multiply the coefficients and multiply the radicands. For example, if you have √3 * √2, you can multiply the coefficients to get 3 * 2 = 6, and multiply the radicands to get √(3 * 2) = √6.

User Sihoon Kim
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