Front | Back |
(T/F): The square root of 80 is a rational number.
|
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 80, the square root of 80 is irrational.
|
(T/F): The square root of 22 is a rational number.
|
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 22, the square root of 22 is irrational.
|
(T/F): The square root of 3 is a rational number.
|
False. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 3, the square root of 3 is irrational.
|
(T/F): The square root of 25 is a rational number.
|
True. EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational.
|
(T/F): The square root of 9 is a rational number.
|
True. EXPLANATION: The square root of 9 is 3, which is an integer, and therefore rational.
|
(T/F): The square root of 100 is a rational number.
|
True. EXPLANATION: The square root of 100 is 10, which is an integer, and therefore rational.
|
(T/F): The square root of 5 is an irrational number.
|
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational.
|
(T/F): The square root of 99 is an irrational number.
|
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 99, the square root of 99 is irrational.
|
(T/F): The square root of 5 is an irrational number.
|
True. EXPLANATION: Only perfect squares have rational square roots. Since there is no integer that can be multiplied by itself to make 5, the square root of 5 is irrational.
|
(T/F): The square root of 36 is an irrational number.
|
False. EXPLANATION: The square root of 36 is 6, which is an integer, and therefore rational.
|
(T/F): The square root of 49 is an irrational number.
|
False. EXPLANATION: The square root of 49 is 7, which is an integer, and therefore rational.
|
(T/F): The square root of 16 is an irrational number.
|
False. EXPLANATION: The square root of 16 is 4, which is an integer, and therefore rational.
|
(T/F): The number 85.6060606060. . . is rational.
|
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 60 repeats forever, so the number is rational.
|
(T/F): The number 25.232232232232232. . . is rational.
|
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 232 repeats forever, so the number is rational.
|
(T/F): The number 8.99999. . . is rational.
|
True. EXPLANATION: A rational number has one or more digits to the right of the decimal point that repeat forever. In this case, the number 9 repeats forever, so the number is rational.
|