Algebra Examples

\sqrt{3} \cdot \sqrt[3]{27}

$\sqrt{3} \cdot \sqrt[3]{27}$

Step 1

Rewrite

27

$27$ as

3^{3}

$3^{3}$ .

\sqrt{3} \cdot \sqrt[3]{3^{3}}

$\sqrt{3} \cdot \sqrt[3]{3^{3}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

\sqrt{3} \cdot 3

$\sqrt{3} \cdot 3$

Step 3

Move

3

$3$ to the left of

\sqrt{3}

$\sqrt{3}$ .

3 \sqrt{3}

$3 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

3 \sqrt{3}

$3 \sqrt{3}$

Decimal Form:

5.19615242 \dots

$5.19615242 \dots$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$