Question

which integer is closest to \\(\sqrt3{112}\\)?

Explanation:

Step1: Find nearby perfect cubes

$4^3 = 64$, $5^3 = 125$

Step2: Calculate differences to 112

$112 - 64 = 48$, $125 - 112 = 13$

Step3: Compare difference magnitudes

13 < 48, so 125 is closer to 112.

Answer:

5