Algebra Examples

$\sqrt{9 i^{4}}$

Step 1

Rewrite $i^{4}$ as $1$ .

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Step 1.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$\sqrt{9 {(i^{2})}^{2}}$

Step 1.2

Rewrite $i^{2}$ as $- 1$ .

$\sqrt{9 {(- 1)}^{2}}$

Step 1.3

Raise $- 1$ to the power of $2$ .

$\sqrt{9 \cdot 1}$

Step 2

Multiply $9$ by $1$ .

$\sqrt{9}$

Step 3

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}}$

Step 4

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

$3$