Trigonometry Examples

$\sqrt{7} (11 + \sqrt{6})$

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

$\sqrt{7} \cdot 11 + \sqrt{7} \sqrt{6}$

Step 1.2

Move $11$ to the left of $\sqrt{7}$ .

$11 \cdot \sqrt{7} + \sqrt{7} \sqrt{6}$

Step 1.3

Combine using the product rule for radicals.

$11 \cdot \sqrt{7} + \sqrt{7 \cdot 6}$

$11 \cdot \sqrt{7} + \sqrt{7 \cdot 6}$

Step 2

Multiply $7$ by $6$ .

$11 \sqrt{7} + \sqrt{42}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$11 \sqrt{7} + \sqrt{42}$

Decimal Form:

$35.58400512 \dots$

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