Linear Algebra Examples

$\sqrt{3^{2} - 2^{2} - 6^{2}}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Raise $3$ to the power of $2$ .

$\sqrt{9 - 2^{2} - 6^{2}}$

Step 1.2

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

$\sqrt{9 - 1 \cdot 4 - 6^{2}}$

Step 1.3

Multiply $- 1$ by $4$ .

$\sqrt{9 - 4 - 6^{2}}$

Step 1.4

Raise $6$ to the power of $2$ .

$\sqrt{9 - 4 - 1 \cdot 36}$

Step 1.5

Multiply $- 1$ by $36$ .

$\sqrt{9 - 4 - 36}$

Step 1.6

Subtract $4$ from $9$ .

$\sqrt{5 - 36}$

Step 1.7

Subtract $36$ from $5$ .

$\sqrt{- 31}$

Step 2

Rewrite $- 31$ as $- 1 (31)$ .

$\sqrt{- 1 (31)}$

Step 3

Rewrite $\sqrt{- 1 (31)}$ as $\sqrt{- 1} \cdot \sqrt{31}$ .

$\sqrt{- 1} \cdot \sqrt{31}$

Step 4

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

$i \sqrt{31}$