Algebra Examples

$\frac{\sqrt{- 36}}{- \sqrt{36}}$

Step 1

Pull out imaginary unit $i$ .

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Step 1.1

Rewrite $- 36$ as $- 1 (36)$ .

$\frac{\sqrt{- 1 (36)}}{- \sqrt{36}}$

Step 1.2

Rewrite $\sqrt{- 1 (36)}$ as $\sqrt{- 1} \cdot \sqrt{36}$ .

$\frac{\sqrt{- 1} \cdot \sqrt{36}}{- \sqrt{36}}$

Step 1.3

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

$\frac{i \cdot \sqrt{36}}{- \sqrt{36}}$

Step 2

Cancel the common factor of $\sqrt{36}$ .

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Step 2.1

Cancel the common factor.

$\frac{i \cdot \sqrt{36}}{- \sqrt{36}}$

Step 2.2

Rewrite the expression.

$\frac{i}{- 1}$

Step 2.3

Move the negative one from the denominator of $\frac{i}{- 1}$ .

$- 1 \cdot i$

Step 3

Rewrite $- 1 \cdot i$ as $- i$ .

$- i$