Basic Math Examples

$\frac{12 \sqrt{32}}{- 2}$

Step 1

Cancel the common factor of $12$ and $- 2$ .

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Step 1.1

Factor $2$ out of $12 \sqrt{32}$ .

$\frac{2 (6 \sqrt{32})}{- 2}$

Step 1.2

Move the negative one from the denominator of $\frac{6 \sqrt{32}}{- 1}$ .

$- 1 \cdot (6 \sqrt{32})$

Step 2

Rewrite $- 1 \cdot (6 \sqrt{32})$ as $- (6 \sqrt{32})$ .

$- (6 \sqrt{32})$

Step 3

Rewrite $32$ as $4^{2} \cdot 2$ .

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Step 3.1

Factor $16$ out of $32$ .

$- (6 \sqrt{16 (2)})$

Step 3.2

Rewrite $16$ as $4^{2}$ .

$- (6 \sqrt{4^{2} \cdot 2})$

Step 4

Pull terms out from under the radical.

$- (6 (4 \sqrt{2}))$

Step 5

Multiply.

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Step 5.1

Multiply $4$ by $6$ .

$- (24 \sqrt{2})$

Step 5.2

Multiply $24$ by $- 1$ .

$- 24 \sqrt{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- 24 \sqrt{2}$

Decimal Form:

$- 33.94112549 \dots$