Linear Algebra Examples

$3 \sqrt{200}$

Step 1

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

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Step 1.1

Factor $100$ out of $200$ .

$3 \sqrt{100 (2)}$

Step 1.2

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

$3 \sqrt{10^{2} \cdot 2}$

$3 \sqrt{10^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$3 (10 \sqrt{2})$

Step 3

Multiply $10$ by $3$ .

$30 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$30 \sqrt{2}$

Decimal Form:

$42.42640687 \dots$

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