Basic Math Examples

$8 \sqrt{- 50}$

Step 1

Rewrite $- 50$ as $- 1 (50)$ .

$8 \sqrt{- 1 (50)}$

Step 2

Rewrite $\sqrt{- 1 (50)}$ as $\sqrt{- 1} \cdot \sqrt{50}$ .

$8 (\sqrt{- 1} \cdot \sqrt{50})$

Step 3

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

$8 (i \cdot \sqrt{50})$

Step 4

Rewrite $50$ as $5^{2} \cdot 2$ .

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Step 4.1

Factor $25$ out of $50$ .

$8 (i \cdot \sqrt{25 (2)})$

Step 4.2

Rewrite $25$ as $5^{2}$ .

$8 (i \cdot \sqrt{5^{2} \cdot 2})$

Step 5

Pull terms out from under the radical.

$8 (i \cdot (5 \sqrt{2}))$

Step 6

Simplify the expression.

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Step 6.1

Move $5$ to the left of $i$ .

$8 (5 \cdot i \sqrt{2})$

Step 6.2

Multiply $5$ by $8$ .

$40 i \sqrt{2}$