Basic Math Examples

$\sqrt{10^{2} - 4 \cdot 6} (4)$

Step 1

Raise $10$ to the power of $2$ .

$\sqrt{100 - 4 \cdot 6} \cdot 4$

Step 2

Multiply $- 4$ by $6$ .

$\sqrt{100 - 24} \cdot 4$

Step 3

Subtract $24$ from $100$ .

$\sqrt{76} \cdot 4$

Step 4

Rewrite $76$ as $2^{2} \cdot 19$ .

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Step 4.1

Factor $4$ out of $76$ .

$\sqrt{4 (19)} \cdot 4$

Step 4.2

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

$\sqrt{2^{2} \cdot 19} \cdot 4$

$\sqrt{2^{2} \cdot 19} \cdot 4$

Step 5

Pull terms out from under the radical.

$2 \sqrt{19} \cdot 4$

Step 6

Multiply $4$ by $2$ .

$8 \sqrt{19}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{19}$

Decimal Form:

$34.87119154 \dots$

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