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In surd form, square roots need to be have the same radical term before you can add or subtract them.

However, unlike in algebraic expressions, it is possible to add or subtract square roots using approximate (decimal) values.

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Q: How is combining like terms similar to adding and subtracting square roots?
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How is the process of adding and subtracting radicals similar to that of simplifying expressions with variables?

he process of adding and subtracting radicals is similar to that of simplifying expressions with variables because they both involve like terms. For example: if you have 2 square root of 2 + 2 square root of 4, you would first simplify the the square root of 4 to get 2. Next, you would add the numbers outside of the square roots to get 4. Finally, you combine the square roots, but leave the final square root to 2 to get the final answer of 4 square root of 2. An example for simplifying variables is: x^2 + x^8. For this, you would add 2 and 8 to get 10. Then, you would combine the two variables to get x. Finally, the final answer would be x10.


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