Trigonometry Examples

$\sqrt{10} (\sqrt{10} + 5)$

Step 1

Simplify terms.

Tap for more steps...

Step 1.1

Apply the distributive property.

$\sqrt{10} \sqrt{10} + \sqrt{10} \cdot 5$

Step 1.2

Combine using the product rule for radicals.

$\sqrt{10 \cdot 10} + \sqrt{10} \cdot 5$

Step 1.3

Move $5$ to the left of $\sqrt{10}$ .

$\sqrt{10 \cdot 10} + 5 \cdot \sqrt{10}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Multiply $10$ by $10$ .

$\sqrt{100} + 5 \cdot \sqrt{10}$

Step 2.2

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}} + 5 \cdot \sqrt{10}$

Step 2.3

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

$10 + 5 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$10 + 5 \sqrt{10}$

Decimal Form:

$25.81138830 \dots$