Trigonometry Examples

$\sqrt{11} (\sqrt{26} + \sqrt{15})$

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

$\sqrt{11} \sqrt{26} + \sqrt{11} \sqrt{15}$

Step 1.2

Combine using the product rule for radicals.

$\sqrt{11 \cdot 26} + \sqrt{11} \sqrt{15}$

Step 1.3

Combine using the product rule for radicals.

$\sqrt{11 \cdot 26} + \sqrt{11 \cdot 15}$

$\sqrt{11 \cdot 26} + \sqrt{11 \cdot 15}$

Step 2

Simplify each term.

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Step 2.1

Multiply $11$ by $26$ .

$\sqrt{286} + \sqrt{11 \cdot 15}$

Step 2.2

Multiply $11$ by $15$ .

$\sqrt{286} + \sqrt{165}$

$\sqrt{286} + \sqrt{165}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{286} + \sqrt{165}$

Decimal Form:

$29.75676710 \dots$

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