1. The problem asks to identify which expressions are cube roots (куб язгуур). 2. A cube root of a number $a$ is a number $b$ such that $b^3 = a$. It is denoted as $\sqrt[3]{a}$. 3. Let's analyze each expression: - $\sqrt[3]{8}$: This is a cube root because it is explicitly the cube root of 8. - $-\sqrt[3]{27}$: This is also a cube root because it is the negative of the cube root of 27. - $\sqrt{-8}$: This is a square root, not a cube root. - $\sqrt[3]{-64}$: This is a cube root because it is the cube root of -64. - $\sqrt[4]{64}$: This is a fourth root, not a cube root. - $\sqrt{0}$: This is a square root, not a cube root. - $\sqrt{9}$: This is a square root, not a cube root. - $3\sqrt{10}$: This is 3 times the square root of 10, not a cube root. 4. Therefore, the cube roots are: $$\sqrt[3]{8}, -\sqrt[3]{27}, \sqrt[3]{-64}$$ Final answer: The correct cube roots are $\sqrt[3]{8}$, $-\sqrt[3]{27}$, and $\sqrt[3]{-64}$.