# What is the cubed root of 8?

May 9, 2018

$\sqrt[3]{8} = 2$

#### Explanation:

The cube root of $x$ (denoted by $\sqrt[3]{x}$) is a number that you multiply by itself three times to get $x$.

The cube root of $8$ is $2$, because:

$2 \cdot 2 \cdot 2 = 4 \cdot 2 = \textcolor{red}{8}$

You can also use exponents:

${2}^{3} = {2}^{2} \cdot {2}^{1} = 4 \cdot 2 = \textcolor{red}{8}$

May 9, 2018

$\sqrt[3]{8} = {\left(8\right)}^{\frac{1}{3}} = {\left({2}^{3}\right)}^{\frac{1}{3}} = 2$

#### Explanation:

show that $8 = {2}^{3}$

cubic root of x equals ${x}^{\frac{1}{3}}$

cubic root of 8 equals ${\left(8\right)}^{\frac{1}{3}} = {\left({2}^{3}\right)}^{\frac{1}{3}} = 2$

note that

${\left({x}^{n}\right)}^{m} = {x}^{n \cdot m}$