Finite Math Examples

$\sqrt{- 150 - 54}$

Step 1

Subtract $54$ from $- 150$ .

$\sqrt{- 204}$

Step 2

Rewrite $- 204$ as $- 1 (204)$ .

$\sqrt{- 1 (204)}$

Step 3

Rewrite $\sqrt{- 1 (204)}$ as $\sqrt{- 1} \cdot \sqrt{204}$ .

$\sqrt{- 1} \cdot \sqrt{204}$

Step 4

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

$i \cdot \sqrt{204}$

Step 5

Rewrite $204$ as $2^{2} \cdot 51$ .

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Step 5.1

Factor $4$ out of $204$ .

$i \cdot \sqrt{4 (51)}$

Step 5.2

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

$i \cdot \sqrt{2^{2} \cdot 51}$

Step 6

Pull terms out from under the radical.

$i \cdot (2 \sqrt{51})$

Step 7

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

$2 i \sqrt{51}$