Trigonometry Examples

$\sqrt{- {123.88}^{2} + {(- 109.25)}^{2}}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Raise $123.88$ to the power of $2$ .

$\sqrt{- 1 \cdot 15346.2544 + {(- 109.25)}^{2}}$

Step 1.2

Multiply $- 1$ by $15346.2544$ .

$\sqrt{- 15346.2544 + {(- 109.25)}^{2}}$

Step 1.3

Raise $- 109.25$ to the power of $2$ .

$\sqrt{- 15346.2544 + 11935.5625}$

Step 1.4

Add $- 15346.2544$ and $11935.5625$ .

$\sqrt{- 3410.6919}$

Step 2

Rewrite $- 3410.6919$ as $- 1 (3410.6919)$ .

$\sqrt{- 1 (3410.6919)}$

Step 3

Rewrite $\sqrt{- 1 (3410.6919)}$ as $\sqrt{- 1} \cdot \sqrt{3410.6919}$ .

$\sqrt{- 1} \cdot \sqrt{3410.6919}$

Step 4

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

$i \sqrt{3410.6919}$