Evaluate square root of -121

$\sqrt{- 121}$

Rewrite $- 121$ as $- 1 (121)$ .

$\sqrt{- 1 (121)}$

Rewrite $\sqrt{- 1 (121)}$ as $\sqrt{- 1} \cdot \sqrt{121}$ .

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

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

$i \cdot \sqrt{121}$

Rewrite $121$ as $11^{2}$ .

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

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

$i \cdot 11$

Move $11$ to the left of $i$ .

$11 i$

Evaluate square root of -121

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