Basic Math Examples

\sqrt{- 121}

$\sqrt{- 121}$

Step 1

Rewrite

- 121

$- 121$ as

- 1 (121)

$- 1 (121)$ .

\sqrt{- 1 (121)}

$\sqrt{- 1 (121)}$

Step 2

Rewrite

\sqrt{- 1 (121)}

$\sqrt{- 1 (121)}$ as

\sqrt{- 1} \cdot \sqrt{121}

$\sqrt{- 1} \cdot \sqrt{121}$ .

\sqrt{- 1} \cdot \sqrt{121}

$\sqrt{- 1} \cdot \sqrt{121}$

Step 3

Rewrite

\sqrt{- 1}

$\sqrt{- 1}$ as

i

$i$ .

i \cdot \sqrt{121}

$i \cdot \sqrt{121}$

Step 4

Rewrite

121

$121$ as

11^{2}

$11^{2}$ .

i \cdot \sqrt{11^{2}}

$i \cdot \sqrt{11^{2}}$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

i \cdot 11

$i \cdot 11$

Step 6

Move

11

$11$ to the left of

i

$i$ .

11 i

$11 i$

Enter a problem...

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

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