Basic Math Examples

$\sqrt{7} (\sqrt{7} + \sqrt{10})$

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

$\sqrt{7} \sqrt{7} + \sqrt{7} \sqrt{10}$

Step 1.2

Combine using the product rule for radicals.

$\sqrt{7 \cdot 7} + \sqrt{7} \sqrt{10}$

Step 1.3

Combine using the product rule for radicals.

$\sqrt{7 \cdot 7} + \sqrt{7 \cdot 10}$

Step 2

Simplify each term.

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Step 2.1

Multiply $7$ by $7$ .

$\sqrt{49} + \sqrt{7 \cdot 10}$

Step 2.2

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2}} + \sqrt{7 \cdot 10}$

Step 2.3

Pull terms out from under the radical, assuming positive real numbers.

$7 + \sqrt{7 \cdot 10}$

Step 2.4

Multiply $7$ by $10$ .

$7 + \sqrt{70}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$7 + \sqrt{70}$

Decimal Form:

$15.36660026 \dots$