Question

which integer is closest to $sqrt3{12}$?

Explanation:

Step1: Find nearby perfect cubes

$2^3 = 8$, $3^3 = 27$

Step2: Calculate differences to 12

$12 - 8 = 4$, $27 - 12 = 15$

Step3: Compare distance to integers

4 < 15, so 12 is closer to $2^3$.

Answer:

2