Question

complete the following statement. use the integers that are closest to the number in the middle.
□ < sqrt3{14} < □
submit

Explanation:

Step1: Find nearest lower cube

$2^3 = 8$

Step2: Find nearest upper cube

$3^3 = 27$

Step3: Compare cube root to integers

Since $8 < 14 < 27$, take cube roots: $\sqrt[3]{8} < \sqrt[3]{14} < \sqrt[3]{27}$

Answer:

$2 < \sqrt[3]{14} < 3$