Example Question - nearest integer
Here are examples of questions we've helped users solve.
Finding the Nearest Integer to a Cube Root
The expression presented in the image is the cube root of 976, denoted as \( \sqrt[3]{976} \). To find which integer is closest to this value, you would generally have to evaluate this cube root. You know that: \(2^3 = 8\), \(3^3 = 27\), \(4^3 = 64\), \(5^3 = 125\), \(6^3 = 216\), \(7^3 = 343\), \(8^3 = 512\), \(9^3 = 729\), \(10^3 = 1000\). Since 976 is between \(9^3 = 729\) and \(10^3 = 1000\), the cube root of 976 will be between 9 and 10. Because 976 is closer to \(9^3 = 729\) than to \(10^3 = 1000\), the integer closest to \( \sqrt[3]{976} \) is 9.
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.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com