Pre-Algebra Examples

$4 \sqrt[4]{144}$

Step 1

Rewrite $144$ as $2^{4} \cdot 9$ .

Tap for more steps...

Step 1.1

Factor $16$ out of $144$ .

$4 \sqrt[4]{16 (9)}$

Step 1.2

Rewrite $16$ as $2^{4}$ .

$4 \sqrt[4]{2^{4} \cdot 9}$

Step 2

Pull terms out from under the radical.

$4 (2 \sqrt[4]{9})$

Step 3

Rewrite $9$ as $3^{2}$ .

$4 (2 \sqrt[4]{3^{2}})$

Step 4

Rewrite $\sqrt[4]{3^{2}}$ as $\sqrt{\sqrt{3^{2}}}$ .

$4 (2 \sqrt{\sqrt{3^{2}}})$

Step 5

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

$4 (2 \sqrt{3})$

Step 6

Multiply $2$ by $4$ .

$8 \sqrt{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{3}$

Decimal Form:

$13.85640646 \dots$