Finite Math Examples

$\sqrt{- 1280 - 4 \cdot 120 \cdot 1500}$

Step 1

Multiply $- 4 \cdot 120 \cdot 1500$ .

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Step 1.1

Multiply $- 4$ by $120$ .

$\sqrt{- 1280 - 480 \cdot 1500}$

Step 1.2

Multiply $- 480$ by $1500$ .

$\sqrt{- 1280 - 720000}$

Step 2

Subtract $720000$ from $- 1280$ .

$\sqrt{- 721280}$

Step 3

Rewrite $- 721280$ as $- 1 (721280)$ .

$\sqrt{- 1 (721280)}$

Step 4

Rewrite $\sqrt{- 1 (721280)}$ as $\sqrt{- 1} \cdot \sqrt{721280}$ .

$\sqrt{- 1} \cdot \sqrt{721280}$

Step 5

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

$i \cdot \sqrt{721280}$

Step 6

Rewrite $721280$ as $56^{2} \cdot 230$ .

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Step 6.1

Factor $3136$ out of $721280$ .

$i \cdot \sqrt{3136 (230)}$

Step 6.2

Rewrite $3136$ as $56^{2}$ .

$i \cdot \sqrt{56^{2} \cdot 230}$

Step 7

Pull terms out from under the radical.

$i \cdot (56 \sqrt{230})$

Step 8

Move $56$ to the left of $i$ .

$56 i \sqrt{230}$