1. list of the first 12 perfect squares
2. True or False: Lynn said that all square roots are irrational numbers. Explain your answer.
3. Classify the numbers as rational or irrational: square root of 77, square root of 48, 0.375654535…., and 0.3757575….
4. find the square root for each number: square root of 121, and square root of 79 - estimate.
5. find the cube roots for each number: cube root of 27^3, and cube root of 75^3 - estimate.
1. The first 12 perfect squares are:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144.
2. False. Lynn's statement is incorrect. While some square roots are irrational numbers (such as the square root of 2 or the square root of 3), not all square roots are irrational. For example, the square root of 4 is a rational number (which is 2) since it can be expressed as a fraction.
3. - The square root of 77 is an irrational number.
- The square root of 48 is an irrational number.
- 0.375654535… is an irrational number.
- 0.3757575… is a rational number.
4. - The square root of 121 is 11.
- The square root of 79 is an estimate since it is an irrational number. The estimate could be around 8.8.
5. - The cube root of 27^3 is 27.
- The cube root of 75^3 is an estimate since it is an irrational number. The estimate could be around 43.5.