Example Question - cube numbers

Nearest Integer to Cube Root of 55

The question is asking for the nearest integer to the cube root of 55. To solve this, let's first estimate which two cube numbers 55 falls between. We know that \(3^3 = 27\) and \(4^3 = 64\), so the cube root of 55 must be between 3 and 4. Now, 55 is closer to 64 than it is to 27, so we should expect the cube root of 55 to be closer to 4 than to 3. Therefore, the integer closest to the cube root of \( \sqrt[3]{55} \) is 4.