Linear Algebra Examples

$\sqrt{24 \cdot 50 \cdot 2}$

Step 1

Multiply $24$ by $50$ .

$\sqrt{1200 \cdot 2}$

Step 2

Multiply $1200$ by $2$ .

$\sqrt{2400}$

Step 3

Rewrite $2400$ as $20^{2} \cdot 6$ .

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Step 3.1

Factor $400$ out of $2400$ .

$\sqrt{400 (6)}$

Step 3.2

Rewrite $400$ as $20^{2}$ .

$\sqrt{20^{2} \cdot 6}$

$\sqrt{20^{2} \cdot 6}$

Step 4

Pull terms out from under the radical.

$20 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$20 \sqrt{6}$

Decimal Form:

$48.98979485 \dots$

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