Linear Algebra Examples

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

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

Step 1

Multiply

\sqrt{30 (60)}

$\sqrt{30 (60)}$ by

0.75

$0.75$ .

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

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

Step 2

Simplify

\sqrt{30 (60)} \cdot 0.75 \cdot 1

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

Tap for more steps...

Step 2.1

Multiply

30

$30$ by

60

$60$ .

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

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

Step 2.2

Rewrite

1800

$1800$ as

30^{2} \cdot 2

$30^{2} \cdot 2$ .

Tap for more steps...

Step 2.2.1

Factor

900

$900$ out of

1800

$1800$ .

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

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

Step 2.2.2

Rewrite

900

$900$ as

30^{2}

$30^{2}$ .

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

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

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

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

Step 2.4

Multiply

30 \sqrt{2} \cdot 0.75

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

Tap for more steps...

Step 2.4.1

Multiply

0.75

$0.75$ by

30

$30$ .

s = 22.5 \sqrt{2} \cdot 1

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

Step 2.4.2

Multiply

22.5

$22.5$ by

\sqrt{2}

$\sqrt{2}$ .

s = 31.81980515 \cdot 1

$s = 31.81980515 \cdot 1$

s = 31.81980515 \cdot 1

$s = 31.81980515 \cdot 1$

Step 2.5

Multiply

31.81980515

$31.81980515$ by

1

$1$ .

s = 31.81980515

$s = 31.81980515$

s = 31.81980515

$s = 31.81980515$

Step 3

The domain is the set of all valid

s

$s$ values.

{s | s = 31.81980515}

${s | s = 31.81980515}$

Step 4

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

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