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.
