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 stepbystep calculation.
Answer
The cube root of 45 is approximately $3.571$.
Answer for screen readers
The cube root of 45 is approximately $x \approx 3.571$.
Steps to Solve

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 $x^3 = 45$.

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

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.

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

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 $x \approx 3.571$.
More Information
The cube root represents a number that, when multiplied by itself three times, gives you the original value. The cube root is often used in various fields of science and engineering.
Tips
 Mistaking the cube root for the square root. Remember, cube roots involve multiplying the number by itself three times, not two.
 Rounding too early. It's important to keep track of decimal places until the final answer is calculated.