Question:
From the given menu, select all numbers that are rational.
$$~$$Hint: A rational number can be expressed as $\frac{p}{q}$, where $p$ and $q$ are both integers and $q \neq 0$. An irrational number cannot be expressed as the ratio of two integers. The decimal expansion of an irrational number is neither terminating nor repeating. You can also make use of the fact that the roots of natural numbers are either natural or irrational numbers, which can be easily proved by prime factorization (fundamental theorem of arithmetic).
Project ID:
7400320091
Answer 1:
$\sqrt[3]{1\frac18}$
Answer 1 Correct:
0
Answer 2:
$\sqrt[3]{0.001}$
Answer 2 Correct:
1
Answer 3:
$\sqrt[5]{-125}$
Answer 3 Correct:
0
Answer 4:
$\sqrt[5]{-\frac{1}{32}}$
Answer 4 Correct:
1
Answer 5:
$\sqrt[3]{3\frac38}$
Answer 5 Correct:
1
Answer 6:
$\sqrt[5]{0.00001}$
Answer 6 Correct:
1
Answer 7:
$\sqrt[3]{-\frac{1}{64}}$
Answer 7 Correct:
1
Answer 8:
$\sqrt[5]{-27}$
Answer 8 Correct:
0