Linear Algebra Examples

$- \sqrt{68} \sqrt{407}$

Step 1

Rewrite $68$ as $2^{2} \cdot 17$ .

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Step 1.1

Factor $4$ out of $68$ .

$- \sqrt{4 (17)} \sqrt{407}$

Step 1.2

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

$- \sqrt{2^{2} \cdot 17} \sqrt{407}$

$- \sqrt{2^{2} \cdot 17} \sqrt{407}$

Step 2

Pull terms out from under the radical.

$- (2 \sqrt{17}) \sqrt{407}$

Step 3

Multiply $2$ by $- 1$ .

$- 2 \sqrt{17} \sqrt{407}$

Step 4

Multiply $- 2 \sqrt{17} \sqrt{407}$ .

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Step 4.1

Combine using the product rule for radicals.

$- 2 \sqrt{407 \cdot 17}$

Step 4.2

Multiply $407$ by $17$ .

$- 2 \sqrt{6919}$

$- 2 \sqrt{6919}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt{6919}$

Decimal Form:

$- 166.36105313 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$