Calculus Examples

$\sqrt{x + 5} - \sqrt{5} (\sqrt{x + 5} + 5)$

Step 1

Apply the distributive property.

$\sqrt{x + 5} - \sqrt{5} \sqrt{x + 5} - \sqrt{5} \cdot 5$

Step 2

Combine using the product rule for radicals.

$\sqrt{x + 5} - \sqrt{(x + 5) \cdot 5} - \sqrt{5} \cdot 5$

Step 3

Multiply $5$ by $- 1$ .

$\sqrt{x + 5} - \sqrt{(x + 5) \cdot 5} - 5 \sqrt{5}$