Question

simplify basic cube roots
this is the only question in this section.
question
rewrite $sqrt3{27}$ in simplest form.
answer attempt 1 out of 5

Explanation:

Step1: Recall cube - root definition

The cube - root of a number $x$, denoted as $\sqrt[3]{x}$, is a number $y$ such that $y^3=x$.
We need to find a number $y$ where $y^3 = 27$.

Step2: Factorize 27

We know that $27=3\times3\times3 = 3^3$.
So, $\sqrt[3]{27}=\sqrt[3]{3^3}$.

Step3: Simplify the cube - root

By the property $\sqrt[3]{a^3}=a$ for any real number $a$, when $a = 3$, we have $\sqrt[3]{3^3}=3$.

Answer:

3