All High School Math Resources
Example Questions
Example Question #1 : Factoring Radicals
Factor and simplify the following radical expression:
Begin by factoring the integer:
Now, simplify the exponents:
Example Question #2 : Factoring Radicals
Factor and simplify the following radical expression:
Begin by converting the radical into exponent form:
Now, multiply the exponents:
Example Question #3 : Simplifying Radicals
Factor and simplify the following radical expression:
Begin by converting the radical into exponent form:
Now, combine the bases:
Simplify the integer:
Now, simplify the exponents:
Convert back into radical form and simplify:
Example Question #4 : Simplifying Radicals
Factor and simplify the following radical expression:
Begin by multiplying the numerator and denominator by the complement of the denominator:
Use the FOIL method to multiply the radicals. F (first) O (outer) I (inner) L (last)
Now, combine like terms:
Simplify:
Example Question #5 : Simplifying Radicals
Factor and simplify the following radical expression:
Begin by factoring the radicals:
Combine like terms:
Multiply the left side by and the right side by
Example Question #6 : Simplifying Radicals
Factor and simplify the following radical expression:
Begin by converting the radicals into exponent form:
Now, combine the bases:
Convert back into radical form and simplify:
Example Question #2 : Factoring Radicals
Factor and simplify the following radical expression:
Begin by simplifying the right side of the rational expression:
Now, combine like terms:
Example Question #21 : Radicals
Factor and simplify the following radical expression:
Begin by using the FOIL method to multiply the radical expression. F (first) O (outer) I (inner) L (last)
Now, combine like terms:
Example Question #7 : Simplifying Radicals
Factor and simplify the following radical expression:
Begin by multiplying the numerator and denominator by :
The expression cannot be further simplified.
Example Question #3 : Factoring Radicals
Factor and simplify the following radical expression:
Begin by multiplying the numerator and denominator by the complement of the denominator:
Combine like terms and simplify: