Algebra II : Mathematical Relationships and Basic Graphs
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Example Questions
Example Question #1272 : High School Math
Find the value of 
To solve this equation, we have to factor our radicals. We do this by finding numbers that multiply to give us the number within the radical.
Add them together:
4 is a perfect square, so we can find the root:
Since both have the same radical, we can combine them:
Example Question #2 : Radicals
Simplify the following equation:
Cannot simplify further
When simplifying, you should always be on the lookout for like terms. While it might not look like there are like terms in 
Before we start combining terms, though, let's look a little more closely at this part:
We need to "distribute" that exponent to everything in the parentheses, like so:
But 4 to the one-half power is just the square root of 4, or 2.
Okay, now let's see our equation.
We need to start combining like terms. Take the terms that include x to the one-half power first.
Now take the terms that have x to the one-third power.
All that's left is to write them in order of descending exponents, then convert the fractional exponents into radicals (since that's what our answer choices look like).
Example Question #3 : Adding And Subtracting Radicals
Simplify.
We can simplify both radicals:
Plug in the simplified radicals into the equation:
which leaves us with:
Because these are not like terms, we cannot simplify this further.
Example Question #1 : Adding And Subtracting Radicals
Simplify.
Only the first two radicals can be simplified:
Plug in the simplified radicals into the equation:
We can now simplify the equation by combining the like terms:
Example Question #2 : Adding And Subtracting Radicals
Simplify.
We can simplify the first and third radicals:
Plug in the simplified radicals into the equation:
Combine the like terms:
Example Question #1 : Adding And Subtracting Radicals
Example Question #2552 : Algebra 1
The third root of 
and when added to the square root of 64, which is 8, you should get 11.
Example Question #2 : Adding And Subtracting 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.
Since they are not the same, the answer is just the problem stated.
Example Question #51 : Simplifying 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.
Since they are not the same, the answer is just the problem stated.
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.
Looking carefully at the radicand we will notice that each radicand is a perfect sqare. This means we are able to reduce the radical into an integer.
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