# What is the cube root of 45?

#### Understand the Problem

The question asks for the cube root of 45, which means we need to find a number that, when multiplied by itself three times, equals 45. This is a mathematical problem that requires a step-by-step calculation.

The cube root of 45 is approximately $3.571$.

The cube root of 45 is approximately $x \approx 3.571$.

#### Steps to Solve

1. Set up the equation for the cube root To find the cube root of 45, we denote it as $x$. This means we are looking for $x$ such that $x^3 = 45$.

2. Rewrite the equation We can express this in a more useful form for calculation: $$x = \sqrt[3]{45}$$

3. Estimate the cube root of 45 Since we know that $3^3 = 27$ and $4^3 = 64$, we know that the cube root of 45 is between 3 and 4.

4. Use a calculator or approximations To find a more precise value for $x$, we can use a calculator or estimate further. Using a calculator: $$x \approx 3.571$$

5. Verification To ensure that our answer is correct, we can cube our result: $$(3.571)^3 \approx 45$$

The cube root of 45 is approximately $x \approx 3.571$.