Finite Math Examples

$\sqrt[5]{12} - \sqrt{108} + \sqrt[3]{175}$

Step 1

Rewrite $108$ as $6^{2} \cdot 3$ .

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Step 1.1

Factor $36$ out of $108$ .

$\sqrt[5]{12} - \sqrt{36 (3)} + \sqrt[3]{175}$

Step 1.2

Rewrite $36$ as $6^{2}$ .

$\sqrt[5]{12} - \sqrt{6^{2} \cdot 3} + \sqrt[3]{175}$

Step 2

Pull terms out from under the radical.

$\sqrt[5]{12} - (6 \sqrt{3}) + \sqrt[3]{175}$

Step 3

Multiply $6$ by $- 1$ .

$\sqrt[5]{12} - 6 \sqrt{3} + \sqrt[3]{175}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[5]{12} - 6 \sqrt{3} + \sqrt[3]{175}$

Decimal Form:

$- 3.15510830 \dots$