Chapter 4.6, Problem 35IP

To determine

To find:the cube root to the nearest integer.

Answer to Problem 35IP

Thecube root to the nearest integer $-4$ .

Explanation of Solution

Given information :

The expression is $\sqrt[3]{-79}$

Calculation :

Thefirst perfect cube less than $-79$ is $-125$

The first perfect cube greater than $-79$ is $-64$ .

The cube root of $-79$ is between the integers $-5$ and $-4$ .Since $-79$ is closer to $-64$ than to $-125$ .

Hence, $-4$ is nearest integer cube root to the expression $\sqrt[3]{-79}$ .