Basic Math Examples

$7 \sqrt{- 20}$

Step 1

Rewrite $- 20$ as $- 1 (20)$ .

$7 \sqrt{- 1 (20)}$

Step 2

Rewrite $\sqrt{- 1 (20)}$ as $\sqrt{- 1} \cdot \sqrt{20}$ .

$7 (\sqrt{- 1} \cdot \sqrt{20})$

Step 3

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

$7 (i \cdot \sqrt{20})$

Step 4

Rewrite $20$ as $2^{2} \cdot 5$ .

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Step 4.1

Factor $4$ out of $20$ .

$7 (i \cdot \sqrt{4 (5)})$

Step 4.2

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

$7 (i \cdot \sqrt{2^{2} \cdot 5})$

Step 5

Pull terms out from under the radical.

$7 (i \cdot (2 \sqrt{5}))$

Step 6

Simplify the expression.

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Step 6.1

Move $2$ to the left of $i$ .

$7 (2 \cdot i \sqrt{5})$

Step 6.2

Multiply $2$ by $7$ .

$14 i \sqrt{5}$