Chapter 4.6, Problem 15GP

To determine

To find:the cube root to the nearest integer.

Answer to Problem 15GP

Thecube root to the nearest integeris $-10$ .

Explanation of Solution

Given information :

The expression is $\sqrt[3]{-879}$

Calculation :

The first perfect cube less than $-879$ is $-729$

The first perfect cube greater than $-879$ is $-1000$ .

The cube root of $-636$ is between the integers $-9$ and $-10$ .Since $-879$ is closer to $-1000$ than to $-729$ .

Hence, $-10$ is nearest integer cube root to the expression $\sqrt[3]{-879}$ .