Question

which two integers is \\(\sqrt3{17}\\) between? 14 and 15, 3 and 4, 2 and 3, 10 and 11

Explanation:

Step1: Find cube of 2

$2^3 = 8$

Step2: Find cube of 3

$3^3 = 27$

Step3: Compare with 17

$8 < 17 < 27$, so $\sqrt[3]{8} < \sqrt[3]{17} < \sqrt[3]{27}$

Answer:

2 and 3