Question

List of first 12 perfect squares

Answer 1

True or False: Lynn said that all square roots are irrational numbers. Explain your answer.

Answer 2

Classify the numbers as rational or irrational:
A. √77
B. √48
C. 0.375654535….
D. 0.3757575….

Answer 3

Find the square roots for each number.
A. √77
B. √48
C. 0.375654535….
D. 0.3757575….

Answer 4

Find the cube roots for each number:
A. √77
B. √48
C. 0.375654535….
D. 0.3757575….

Answer 5

Find the cube roots for each number: Estimate
A. √77
B. √48
C. 0.375654535….
D. 0.3757575….

Answer 6

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144

Answer 7

False. Lynn's statement is incorrect. While some square roots are indeed irrational numbers (meaning they cannot be expressed as a ratio of two integers), there are also square roots that are rational numbers (meaning they can be expressed as a ratio of two integers). For example, the square root of 4 is 2, which is a rational number.

Answer 8

A. √77 is an irrational number.
B. √48 is an irrational number.
C. 0.375654535…. is a rational number.
D. 0.3757575…. is a rational number.

Answer 9

A. The square root of 77 is approximately 8.77496438739.
B. The square root of 48 is approximately 6.92820323028.
C. The square root of 0.375654535…. is approximately 0.61231262.
D. The square root of 0.3757575…. is approximately 0.6124145821.

Answer 10

To clarify, you are asking for the cube roots (not square roots) of the given numbers?

A. The cube root of 77 is approximately 4.309376217.
B. The cube root of 48 is approximately 3.634241908.
C. The cube root of 0.375654535… is approximately 0.70963107.
D. The cube root of 0.3757575… is approximately 0.709758092.

Answer 11

To clarify, you are asking for the cube roots (not square roots) of the given numbers?

A. The cube root of 77 is approximately 4.216965034.
B. The cube root of 48 is approximately 3.634241908.
C. The cube root of 0.375654535… is approximately 0.704071646.
D. The cube root of 0.3757575… is approximately 0.703962209.