Algebra Examples

$\sqrt{4 \sqrt{2}}$

Step 1

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \sqrt{2}}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{\sqrt{2}}$

Step 3

Rewrite $\sqrt{\sqrt{2}}$ as $\sqrt[4]{2}$ .

$2 \sqrt[4]{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{2}$

Decimal Form:

$2.37841423 \dots$

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