Finite Math Examples

$A = \sqrt{10 (10 - 5) (10 - 6) (10 - 9)}$

Step 1

Subtract $5$ from $10$ .

$A = \sqrt{10 \cdot 5 (10 - 6) (10 - 9)}$

Step 2

Multiply $10$ by $5$ .

$A = \sqrt{50 (10 - 6) (10 - 9)}$

Step 3

Subtract $6$ from $10$ .

$A = \sqrt{50 \cdot 4 (10 - 9)}$

Step 4

Multiply $50$ by $4$ .

$A = \sqrt{200 (10 - 9)}$

Step 5

Subtract $9$ from $10$ .

$A = \sqrt{200 \cdot 1}$

Step 6

Multiply $200$ by $1$ .

$A = \sqrt{200}$

Step 7

Rewrite $200$ as $10^{2} \cdot 2$ .

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Step 7.1

Factor $100$ out of $200$ .

$A = \sqrt{100 (2)}$

Step 7.2

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

$A = \sqrt{10^{2} \cdot 2}$

$A = \sqrt{10^{2} \cdot 2}$

Step 8

Pull terms out from under the radical.

$A = 10 \sqrt{2}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$A = 10 \sqrt{2}$

Decimal Form:

$A = 14.14213562 \dots$

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