Simplify the expression 3 cube root of 27.

Check the final answer first, then review the worked steps.

Problem

Simplify the expression 3 * cube root of 27.

Answer

9

Step-by-step solution

1. Identify the expression: The problem asks to simplify the expression $3\sqrt[3]{27}$. This involves a coefficient of 3 multiplied by the cube root of 27.
2. Calculate the cube root: The cube root of 27 is the number that, when multiplied by itself three times, equals 27. We know that $3 \times 3 \times 3 = 27$. Therefore, the cube root of 27 is 3, which can be written as $\sqrt[3]{27} = 3$.
3. Multiply by the coefficient: Now, substitute the value of the cube root back into the original expression: $3 \times 3$.
4. Final calculation: Perform the multiplication: $3 \times 3 = 9$.

Sign up to unlock