College Algebra : College Algebra
Study concepts, example questions & explanations for College Algebra
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Example Questions
Example Question #151 : Radicals
Solve.
When adding and subtracting radicals, make the sure radicand or inside the square root are the same.
If they are the same, just add the numbers in front of the radical. If they are not the same, the answer is just the problem stated.
Since they are the same, just add the numbers in front of the radical: 
Therefore, our final answer is the sum of the integers and the radical:
Example Question #152 : Radicals
Solve.
When adding and subtracting radicals, make the sure radicand or inside the square root are the same.
If they are the same, just add the numbers in front of the radical.
If they are not the same, the answer is just the problem stated.
Since they are the same, just add and subtract the numbers in front: 
Therefore, the final answer will be this sum and the radical added to the end:
Example Question #2 : Radicals
Simplify, if possible:
The radicals given are not in like-terms. To simplify, take the common factors for each of the radicals and separate the radicals. A radical times itself will eliminate the square root sign.
Now that each radical is in its like term, we can now combine like-terms.
Example Question #1 : Multiplying And Dividing Radicals
Multiply and express the answer in the simplest form:
Example Question #192 : Radicals
Simplify.
We can solve this by simplifying the radicals first:
Plugging this into the equation gives us:
Example Question #1 : Radicals
What is the product of 
First, simplify 
Then set up the multiplication problem:
Multiply the terms outside of the radical, then the terms under the radical:
The radical is still not in its simplest form and must be reduced further:
Example Question #53 : Review And Other Topics
Simplify the following:
To solve this, you must remember the rules for simplifying roots. In order to pull something out from the inside, you msut have the amount indicated in the index. Thus, in this case, to pull one x out, you need 3 inside. Thus,
Example Question #331 : College Algebra
Simplify the following:
To simplify radicals, you must have common numbers on the inside of the square root. Don't be fooled. There is no way to simplify any of these, so your answer is simply:
Example Question #332 : College Algebra
Simplify the following expression:
it cannot be simplified further
Observe that 250 and 150 factor into 
Example Question #61 : Review And Other Topics
Which of the following is equal to 
Factor the radical by values of perfect squares.
Replace the term.
The answer is:
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