Basic Math Examples

$\arctan (\sqrt{1250 \div 8})$

Step 1

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 1.1

Rewrite the division as a fraction.

$\arctan (\sqrt{\frac{1250}{8}})$

Step 1.2

Cancel the common factor of $1250$ and $8$ .

Tap for more steps...

Step 1.2.1

Factor $2$ out of $1250$ .

$\arctan (\sqrt{\frac{2 (625)}{8}})$

Step 1.2.2

Cancel the common factors.

Tap for more steps...

Step 1.2.2.1

Factor $2$ out of $8$ .

$\arctan (\sqrt{\frac{2 \cdot 625}{2 \cdot 4}})$

Step 1.2.2.2

Cancel the common factor.

$\arctan (\sqrt{\frac{2 \cdot 625}{2 \cdot 4}})$

Step 1.2.2.3

Rewrite the expression.

$\arctan (\sqrt{\frac{625}{4}})$

Step 2

Rewrite $\sqrt{\frac{625}{4}}$ as $\frac{\sqrt{625}}{\sqrt{4}}$ .

$\arctan (\frac{\sqrt{625}}{\sqrt{4}})$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Rewrite $625$ as $25^{2}$ .

$\arctan (\frac{\sqrt{25^{2}}}{\sqrt{4}})$

Step 3.2

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

$\arctan (\frac{25}{\sqrt{4}})$

Step 4

Simplify the denominator.

Tap for more steps...

Step 4.1

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

$\arctan (\frac{25}{\sqrt{2^{2}}})$

Step 4.2

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

$\arctan (\frac{25}{2})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\arctan (\frac{25}{2})$

Decimal Form:

$1.49096634 \dots$