Linear Algebra Examples

$s = \sqrt{30 (60)} (0.75) (1)$

Step 1

Multiply $\sqrt{30 (60)}$ by $0.75$ .

$s = \sqrt{30 (60)} \cdot 0.75 \cdot 1$

Step 2

Simplify $\sqrt{30 (60)} \cdot 0.75 \cdot 1$ .

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Step 2.1

Multiply $30$ by $60$ .

$s = \sqrt{1800} \cdot 0.75 \cdot 1$

Step 2.2

Rewrite $1800$ as $30^{2} \cdot 2$ .

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Step 2.2.1

Factor $900$ out of $1800$ .

$s = \sqrt{900 (2)} \cdot 0.75 \cdot 1$

Step 2.2.2

Rewrite $900$ as $30^{2}$ .

$s = \sqrt{30^{2} \cdot 2} \cdot 0.75 \cdot 1$

$s = \sqrt{30^{2} \cdot 2} \cdot 0.75 \cdot 1$

Step 2.3

Pull terms out from under the radical.

$s = 30 \sqrt{2} \cdot 0.75 \cdot 1$

Step 2.4

Multiply $30 \sqrt{2} \cdot 0.75$ .

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Step 2.4.1

Multiply $0.75$ by $30$ .

$s = 22.5 \sqrt{2} \cdot 1$

Step 2.4.2

Multiply $22.5$ by $\sqrt{2}$ .

$s = 31.81980515 \cdot 1$

$s = 31.81980515 \cdot 1$

Step 2.5

Multiply $31.81980515$ by $1$ .

$s = 31.81980515$

$s = 31.81980515$

Step 3

The domain is the set of all valid $s$ values.

${s | s = 31.81980515}$

Step 4

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