Basic Math Examples

$\arccos (\sqrt{27} \div 7)$

Step 1

Rewrite the division as a fraction.

$\arccos (\frac{\sqrt{27}}{7})$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $27$ as $3^{2} \cdot 3$ .

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Step 2.1.1

Factor $9$ out of $27$ .

$\arccos (\frac{\sqrt{9 (3)}}{7})$

Step 2.1.2

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

$\arccos (\frac{\sqrt{3^{2} \cdot 3}}{7})$

$\arccos (\frac{\sqrt{3^{2} \cdot 3}}{7})$

Step 2.2

Pull terms out from under the radical.

$\arccos (\frac{3 \sqrt{3}}{7})$

$\arccos (\frac{3 \sqrt{3}}{7})$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\arccos (\frac{3 \sqrt{3}}{7})$

Decimal Form:

$0.73428879 \dots$

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