Algebra Examples

\sqrt{- 50}

$\sqrt{- 50}$

Step 1

Rewrite

- 50

$- 50$ as

- 1 (50)

$- 1 (50)$ .

\sqrt{- 1 (50)}

$\sqrt{- 1 (50)}$

Step 2

Rewrite

\sqrt{- 1 (50)}

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

\sqrt{- 1} \cdot \sqrt{50}

$\sqrt{- 1} \cdot \sqrt{50}$ .

\sqrt{- 1} \cdot \sqrt{50}

$\sqrt{- 1} \cdot \sqrt{50}$

Step 3

Rewrite

\sqrt{- 1}

$\sqrt{- 1}$ as

i

$i$ .

i \cdot \sqrt{50}

$i \cdot \sqrt{50}$

Step 4

Rewrite

50

$50$ as

5^{2} \cdot 2

$5^{2} \cdot 2$ .

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Step 4.1

Factor

25

$25$ out of

50

$50$ .

i \cdot \sqrt{25 (2)}

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

Step 4.2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

i \cdot \sqrt{5^{2} \cdot 2}

$i \cdot \sqrt{5^{2} \cdot 2}$

i \cdot \sqrt{5^{2} \cdot 2}

$i \cdot \sqrt{5^{2} \cdot 2}$

Step 5

Pull terms out from under the radical.

i \cdot (5 \sqrt{2})

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

Step 6

Move

5

$5$ to the left of

i

$i$ .

5 i \sqrt{2}

$5 i \sqrt{2}$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$