Inequality of Cubic Roots
To complete the statement with inequalities, we need to find a number that is less than the cube root of 15 but also greater than a known number. To make the comparison easier, let's find an integer that, when cubed, is close to 15.
Since \(2^3 = 8\) and \(3^3 = 27\), we can see that the cube root of 15 lies between 2 and 3. Thus, we can place these numbers in the inequalities to show that 2 is less than the cube root of 15 and the cube root of 15 is less than 3.
The completed statement will look like this:
\(2 < \sqrt[3]{15} < 3\)
So you'll fill in the blanks with the numbers 2 and 3 to show that \(2 < \sqrt[3]{15} < 3\).
