Simplifying Square Roots and Cube Roots
Using your knowledge of simplifying square roots and cube roots, complete each problem. Following the instructions, answer all of the questions, and make sure to show all of your work.
This activity is available below or in a printable document.
For question 1, answer in complete sentences using math vocabulary.
- How does simplifying a square root expression differ from simplifying a cube root expression?
For problems 2 and 3, select each true statement. Show work to justify your answers.
- 2√56
- √56 lies between 3 and 4
- √56 lies between 7 and 8
- √56 simplifies to 2√14
- √56 simplifies to 2√7
- ∛320
- ∛320 simplifies to 4∛5
- ∛320 simplifies to 8 ∛5
- ∛320 lies between 6 and 7
- ∛320 lies between 17 and 8
For problems 4 - 10, simplify each radical expression. Show work to justify your answers.
- √75a5
- √36c3d
- √60xc7y4
- √500
- √98
- ∛24
- ∛-500
Once you have completed this assignment, please submit your work to the dropbox.