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That depends on what math operation you are doing with them.
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That depends on the type of problem. For example, if you have equations involving radicals, it often helps to square both sides of the equation. Note that when you do this, you may introduce additional solutions, which are not solutions to the original equation.
When adding and subtracting radicals, you can only combine radicals with the same index and radicand (the number inside the radical). Here are some examples:
You sound like you're going to fail math this year and trying to justify it.