IM 8.8.13 Lesson: Cube Roots

Choose all the true statements.

[math]\left(\sqrt[3]{5}\right)^3=5[/math] [math]7=\left(\sqrt[3]{7}\right)^3[/math] [math]\left(\sqrt[3]{10}\right)^3=1,000[/math] [math]\left(\sqrt[3]{27}\right)^3=3[/math] [math]\left(\sqrt[3]{5}\right)^3=2^3[/math]

What two whole numbers does each cube root lie between? Explain your reasoning.

[math]\sqrt[3]{5}[/math]

[math]\sqrt[3]{23}[/math]

[math]\sqrt[3]{81}[/math]

[math]\sqrt[3]{999}[/math]

The numbers x, y, and z are positive. Plot x, y, and z on the number line. Be prepared to share your reasoning with the class.

Diego knows that [math]8^2=64[/math] and that [math]4^3=64[/math]. He says that this means the following are all true:[br][list][*][math]\sqrt{64}=8[/math][/*][*][math]\sqrt[3]{64}=4[/math][/*][*][math]\sqrt{-64}=-8[/math][/*][*][math]\sqrt[3]{-64}=-4[/math][br][br][/*][/list]Is he correct? Explain how you know.

IM 8.8.13 Lesson: Cube Roots

Choose all the true statements.

What two whole numbers does each cube root lie between? Explain your reasoning.

The numbers x, y, and z are positive. Plot x, y, and z on the number line. Be prepared to share your reasoning with the class.

Information: IM 8.8.13 Lesson: Cube Roots