SOLUTION: operations on radicals: addtion. give me 5 problems with solutions

Question 668326: operations on radicals:
addtion.
give me 5 problems with solutions

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
When adding radicals, you must use the same concept as that of adding "like" variables.

1. add

Since the radicals are the same, simply add the numbers in front of the radicals

2. add
Since the radicals are not the same, and both are in their simplest form, there is no way to combine these values. The answer is the same as the problem,
.

But, if the radicals in your problem are different, be sure to check to see if the radicals can be simplified. Often times, when the radicals are simplified, they become the same radical and can then be added or subtracted. Always simplify, if possible, before deciding upon your answer.
for example

3. to add you can simplify and write it as

then you have

4. in this example, each item has the same radicand (6) and the same index (5), so we can collect like terms as follows:

5.This looks ugly, but don't panic.
sometimes you will need to use this rule from before:

Now an example:

≈

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