Basic Math Examples

$(\sqrt{2} - \sqrt{3}) (\sqrt{2 + \sqrt{3}})$

Step 1

Apply the distributive property.

$\sqrt{2} \sqrt{2 + \sqrt{3}} - \sqrt{3} \sqrt{2 + \sqrt{3}}$

Step 2

Combine using the product rule for radicals.

$\sqrt{2 (2 + \sqrt{3})} - \sqrt{3} \sqrt{2 + \sqrt{3}}$

Step 3

Combine using the product rule for radicals.

$\sqrt{2 (2 + \sqrt{3})} - \sqrt{(2 + \sqrt{3}) \cdot 3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2 (2 + \sqrt{3})} - \sqrt{(2 + \sqrt{3}) \cdot 3}$

Decimal Form:

$- 0.61401440 \dots$