Algebra Examples

$\sqrt{- 48}$

Step 1

Rewrite

$- 48$ as

$- 1 (48)$ .

$\sqrt{- 1 (48)}$

Step 2

Rewrite

$\sqrt{- 1 (48)}$ as

$\sqrt{- 1} \cdot \sqrt{48}$ .

$\sqrt{- 1} \cdot \sqrt{48}$

Step 3

Rewrite

$\sqrt{- 1}$ as

$i$ .

$i \cdot \sqrt{48}$

Step 4

Rewrite

$48$ as

$4^{2} \cdot 3$ .

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Step 4.1

Factor

$16$ out of

$48$ .

$i \cdot \sqrt{16 (3)}$

Step 4.2

Rewrite

$16$ as

$4^{2}$ .

$i \cdot \sqrt{4^{2} \cdot 3}$

$i \cdot \sqrt{4^{2} \cdot 3}$

Step 5

Pull terms out from under the radical.

$i \cdot (4 \sqrt{3})$

Step 6

Move

$4$ to the left of

$i$ .

$4 i \sqrt{3}$

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