Basic Math Examples

$\sqrt{2} (\sqrt{7} + \sqrt{5})$

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

$\sqrt{2} \sqrt{7} + \sqrt{2} \sqrt{5}$

Step 1.2

Combine using the product rule for radicals.

$\sqrt{2 \cdot 7} + \sqrt{2} \sqrt{5}$

Step 1.3

Combine using the product rule for radicals.

$\sqrt{2 \cdot 7} + \sqrt{2 \cdot 5}$

$\sqrt{2 \cdot 7} + \sqrt{2 \cdot 5}$

Step 2

Simplify each term.

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Step 2.1

Multiply $2$ by $7$ .

$\sqrt{14} + \sqrt{2 \cdot 5}$

Step 2.2

Multiply $2$ by $5$ .

$\sqrt{14} + \sqrt{10}$

$\sqrt{14} + \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{14} + \sqrt{10}$

Decimal Form:

$6.90393504 \dots$

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