Pre-Algebra Examples

$\sqrt{57000} \div 16$

Step 1

Rewrite the division as a fraction.

$\frac{\sqrt{57000}}{16}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $57000$ as $10^{2} \cdot 570$ .

Tap for more steps...

Step 2.1.1

Factor $100$ out of $57000$ .

$\frac{\sqrt{100 (570)}}{16}$

Step 2.1.2

Rewrite $100$ as $10^{2}$ .

$\frac{\sqrt{10^{2} \cdot 570}}{16}$

$\frac{\sqrt{10^{2} \cdot 570}}{16}$

Step 2.2

Pull terms out from under the radical.

$\frac{10 \sqrt{570}}{16}$

$\frac{10 \sqrt{570}}{16}$

Step 3

Cancel the common factor of $10$ and $16$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $10 \sqrt{570}$ .

$\frac{2 (5 \sqrt{570})}{16}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $2$ out of $16$ .

$\frac{2 (5 \sqrt{570})}{2 (8)}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (5 \sqrt{570})}{2 \cdot 8}$

Step 3.2.3

Rewrite the expression.

$\frac{5 \sqrt{570}}{8}$

$\frac{5 \sqrt{570}}{8}$

$\frac{5 \sqrt{570}}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5 \sqrt{570}}{8}$

Decimal Form:

$14.92167048 \dots$

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