Linear Algebra Examples

$\sqrt{2} (8 - \sqrt{7})$

Step 1

Apply the distributive property.

$\sqrt{2} \cdot 8 + \sqrt{2} (- \sqrt{7})$

Step 2

Move $8$ to the left of $\sqrt{2}$ .

$8 \cdot \sqrt{2} + \sqrt{2} (- \sqrt{7})$

Step 3

Multiply $\sqrt{2} (- \sqrt{7})$ .

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Step 3.1

Combine using the product rule for radicals.

$8 \cdot \sqrt{2} - \sqrt{2 \cdot 7}$

Step 3.2

Multiply $2$ by $7$ .

$8 \cdot \sqrt{2} - \sqrt{14}$

$8 \sqrt{2} - \sqrt{14}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{2} - \sqrt{14}$

Decimal Form:

$7.57205111 \dots$

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