Finite Math Examples

$\sqrt{- 48} - \frac{12}{4}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $- 48$ as $- 1 (48)$ .

$\sqrt{- 1 (48)} - \frac{12}{4}$

Step 1.2

Rewrite $\sqrt{- 1 (48)}$ as $\sqrt{- 1} \cdot \sqrt{48}$ .

$\sqrt{- 1} \cdot \sqrt{48} - \frac{12}{4}$

Step 1.3

Rewrite $\sqrt{- 1}$ as $i$ .

$i \cdot \sqrt{48} - \frac{12}{4}$

Step 1.4

Rewrite $48$ as $4^{2} \cdot 3$ .

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Step 1.4.1

Factor $16$ out of $48$ .

$i \cdot \sqrt{16 (3)} - \frac{12}{4}$

Step 1.4.2

Rewrite $16$ as $4^{2}$ .

$i \cdot \sqrt{4^{2} \cdot 3} - \frac{12}{4}$

$i \cdot \sqrt{4^{2} \cdot 3} - \frac{12}{4}$

Step 1.5

Pull terms out from under the radical.

$i \cdot (4 \sqrt{3}) - \frac{12}{4}$

Step 1.6

Move $4$ to the left of $i$ .

$4 \cdot i \sqrt{3} - \frac{12}{4}$

Step 1.7

Divide $12$ by $4$ .

$4 i \sqrt{3} - 1 \cdot 3$

Step 1.8

Multiply $- 1$ by $3$ .

$4 i \sqrt{3} - 3$

$4 i \sqrt{3} - 3$

Step 2

Reorder $4 i \sqrt{3}$ and $- 3$ .

$- 3 + 4 i \sqrt{3}$

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