Example Question - cube root of 55
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Determining the Closest Integer to the Cube Root of 55
The question is asking for the closest integer to the cube root of 55. To estimate the cube root of 55, we should find two perfect cubes that 55 falls between. The cube of 3 is \(3^3 = 27\), and the cube of 4 is \(4^3 = 64\). Since 55 is between 27 and 64, the cube root of 55 must be between 3 and 4. Given that the cube root of 55 is \( \sqrt[3]{55} \), and we know that: \(3 < \sqrt[3]{55} < 4\) Since 55 is closer to 64 than it is to 27, the cube root of 55 will be closer to 4 than it is to 3. Therefore, the closest integer to the cube root of 55 is 4.
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.
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