Question

which integer is closest to (sqrt3{24})?

Explanation:

Step1: Find nearby perfect cubes

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

Step2: Compare distances to 24

Distance from 24 to 8: $24 - 8 = 16$
Distance from 24 to 27: $27 - 24 = 3$

Step3: Identify closest integer

3 is smaller than 16, so 27 is closer to 24.

Answer:

3