List of first 12 perfect squares:
I.
II.
III.
IV.
V.
VI.
VII.
VIII.
IX.
X.
XI.
XII.
True or False: Lynn said that all square roots are irrational numbers. Explain your answer.
Classify the numbers as rational or irrational:
0.375654535….
0.3757575….
Find the square roots for each number:
121
79 - Estimate
Find the cube roots for each number:
327
375 - Estimate
What do I need help with?
To complete the list of first 12 perfect squares, here are the missing ones:
I. 1
II. 4
III. 9
IV. 16
V. 25
VI. 36
VII. 49
VIII. 64
IX. 81
X. 100
XI. 121
XII. 144
Now, regarding the statement of Lynn, it is false that all square roots are irrational numbers. While it is true that some square roots are irrational (such as √2 or √5), there are also square roots that are rational numbers. For example, √4 = 2 and √16 = 4.
Next, let's classify the numbers given as rational or irrational:
0.375654535… - This number appears to be a non-repeating decimal, so it is likely an irrational number.
0.3757575… - This number repeats the sequence 75, so it is a rational number.
Now, let's find the square roots and cube roots for the given numbers:
Square root of 121 = 11
Estimate of the square root of 79 is between 8 and 9.
Cube root of 327 is approximately 7.848
Estimate of the cube root of 375 is approximately 7.440