📚 Topic Summary
Square roots and cube roots are fundamental concepts in algebra. A square root of a number 'x' is a value that, when multiplied by itself, equals 'x'. For example, the square root of 9 is 3, because $3 * 3 = 9$. Cube roots are similar, but involve finding a value that, when multiplied by itself *twice*, equals 'x'. For instance, the cube root of 8 is 2, because $2 * 2 * 2 = 8$. This worksheet will help you practice identifying and working with these roots.
🧮 Part A: Vocabulary
Match the term to its correct definition:
- Square Root
- Cube Root
- Radical Symbol
- Perfect Square
- Index
Definitions:
- A number that produces a specified quantity when multiplied by itself twice.
- The symbol $\sqrt{}$ used to indicate a root.
- A number that produces a specified quantity when multiplied by itself.
- A whole number that can be expressed as the square of another whole number.
- A number indicating the root to be taken (e.g., 3 in a cube root).
✍️ Part B: Fill in the Blanks
Complete the sentences below using the correct terms:
The ______ of 25 is 5 because $5 * 5 = 25$. The ______ symbol is used to represent roots. The ______ root of 64 is 4 because $4 * 4 * 4 = 64$. A ______ square is a number whose square root is a whole number, like 16. The ______ in the expression $\sqrt[3]{8}$ is 3.
🤔 Part C: Critical Thinking
Explain, in your own words, the difference between a square root and a cube root. Provide an example of each.