All High School Math Resources
Example Questions
Example Question #11 : Factoring Radicals
Factor and simplify the following radical expression:
Begin by factoring the radicals and combining like terms:
Multiply the left side of the equation by and the right side by :
Example Question #11 : Factoring Radicals
Simplify the following radical expression:
Begin by factoring the integer:
Factor the exponents:
Example Question #13 : Factoring Radicals
Simplify the following radical expression:
Begin by factoring the integer:
Factor the exponents:
Example Question #14 : Factoring Radicals
Simplify the following radical expression:
Begin by factoring the integer:
Factor the exponents:
Example Question #1271 : High School Math
Simplify the following radical expression:
Begin by factoring the expression:
Now, take the square root:
Example Question #16 : Factoring Radicals
Simplify the following radical expression:
Simplify the radical expression:
Example Question #1 : Simplifying Radicals
Simplify the expression:
.
Use the multiplication property of radicals to split the fourth roots as follows:
Simplify the new roots:
Example Question #1 : Adding And Subtracting Radicals
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 #71 : Mathematical Relationships And Basic Graphs
Factor and simplify the following radical expression:
Begin by using the FOIL method (First Outer Inner Last) to expand the expression.
Now, combine like terms:
Example Question #1 : Using Radicals With Elementary Operations
What is the value of ?
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means has to stay on its own while we can combine and into . The simple integers can be combined too, giving us our answer with three seperate terms.
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