Basic Math Examples

$\frac{1}{2} \cdot \sqrt{- 2400}$

Step 1

Rewrite $- 2400$ as $- 1 (2400)$ .

$\frac{1}{2} \cdot \sqrt{- 1 (2400)}$

Step 2

Rewrite $\sqrt{- 1 (2400)}$ as $\sqrt{- 1} \cdot \sqrt{2400}$ .

$\frac{1}{2} \cdot (\sqrt{- 1} \cdot \sqrt{2400})$

Step 3

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

$\frac{1}{2} \cdot (i \cdot \sqrt{2400})$

Step 4

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

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Step 4.1

Factor $400$ out of $2400$ .

$\frac{1}{2} \cdot (i \cdot \sqrt{400 (6)})$

Step 4.2

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

$\frac{1}{2} \cdot (i \cdot \sqrt{20^{2} \cdot 6})$

Step 5

Pull terms out from under the radical.

$\frac{1}{2} \cdot (i \cdot (20 \sqrt{6}))$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $i \cdot (20 \sqrt{6})$ .

$\frac{1}{2} \cdot (2 (i \cdot (10 \sqrt{6})))$

Step 6.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 (i \cdot (10 \sqrt{6})))$

Step 6.3

Rewrite the expression.

$i \cdot (10 \sqrt{6})$

Step 7

Move $10$ to the left of $i$ .

$10 i \sqrt{6}$