Chapter 4.6, Problem 14GP

To determine

To find:the cube root to the nearest integer.

Answer to Problem 14GP

Thecube root to the nearest integeris $-9$ .

Explanation of Solution

Given information :

The expression is $\sqrt[3]{-636}$

Calculation :

The first perfect cube less than $-636$ is $-512$

The first perfect cube greater than $-636$ is $-729$ .

The cube root of $-636$ is between the integers $-8$ and $-9$ .Since $-636$ is closer to $-729$ than to $-512$ .

Hence, $-9$ is nearest integer cube root to the expression $\sqrt[3]{-636}$ .