Chapter 10.3, Problem 40E

To determine

To solve the equation.

Answer to Problem 40E

  $r=8$

Explanation of Solution

Given information$\sqrt[3]{r+19}=3$

Formula Used: Simplify.

Calculation:

  $\sqrt[3]{r+19}=3$

Now, cubing both sides

  ${\left(\sqrt[3]{r+19}\right)}^3=3^3$

So, simplify

  $r+19=3\times 3\times 3$

Now,

  $r+19=27$

Hence,

  $r=8$