# Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Concept Quiz 9.5 - Page 424: 3

True

#### Work Step by Step

We will solve the equation to see if it has a solution or not: Step 1: $\sqrt[3] {x-1}=2$ Step 2: Raising each side of the equation to the power of $3$ and simplifying, we find: $(\sqrt[3] {x-1})^{3}=(2)^{3}$ $x-1=8$ Step 3: Solving the equation, we find: $x-1=8$ $x=8+1$ $x=9$ This shows that the equation does indeed have a solution, which means that the question statement is true.

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