Question - Inequality of Cubic Roots
mathmathematical inequalitiesinequality of cubic rootscube root of 15integer comparison in inequalities
Solution:
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 $$2 < \sqrt[3]{15} < 3$$.
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