Trigonometry Examples

$\sqrt{10} (\sqrt{11} - \sqrt{3})$

Step 1

Apply the distributive property.

$\sqrt{10} \sqrt{11} + \sqrt{10} (- \sqrt{3})$

Step 2

Combine using the product rule for radicals.

$\sqrt{10 \cdot 11} + \sqrt{10} (- \sqrt{3})$

Step 3

Multiply $\sqrt{10} (- \sqrt{3})$ .

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Step 3.1

Combine using the product rule for radicals.

$\sqrt{10 \cdot 11} - \sqrt{10 \cdot 3}$

Step 3.2

Multiply $10$ by $3$ .

$\sqrt{10 \cdot 11} - \sqrt{30}$

$\sqrt{10 \cdot 11} - \sqrt{30}$

Step 4

Multiply $10$ by $11$ .

$\sqrt{110} - \sqrt{30}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{110} - \sqrt{30}$

Decimal Form:

$5.01086290 \dots$

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