Basic Math Examples

$\sqrt{8} \div 0.5$

Step 1

Rewrite the division as a fraction.

$\frac{\sqrt{8}}{0.5}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 2.1.1

Factor $4$ out of $8$ .

$\frac{\sqrt{4 (2)}}{0.5}$

Step 2.1.2

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

$\frac{\sqrt{2^{2} \cdot 2}}{0.5}$

$\frac{\sqrt{2^{2} \cdot 2}}{0.5}$

Step 2.2

Pull terms out from under the radical.

$\frac{2 \sqrt{2}}{0.5}$

$\frac{2 \sqrt{2}}{0.5}$

Step 3

Evaluate the root.

$\frac{2 \cdot 1.41421356}{0.5}$

Step 4

Multiply $2$ by $1.41421356$ .

$\frac{2.82842712}{0.5}$

Step 5

Divide $2.82842712$ by $0.5$ .

$5.65685424$

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