Basic Math Examples

$(\sqrt{3} + \sqrt{5}) (\sqrt{3 - \sqrt{5}})$

Step 1

Apply the distributive property.

$\sqrt{3} \sqrt{3 - \sqrt{5}} + \sqrt{5} \sqrt{3 - \sqrt{5}}$

Step 2

Combine using the product rule for radicals.

$\sqrt{3 (3 - \sqrt{5})} + \sqrt{5} \sqrt{3 - \sqrt{5}}$

Step 3

Combine using the product rule for radicals.

$\sqrt{3 (3 - \sqrt{5})} + \sqrt{5 (3 - \sqrt{5})}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3 (3 - \sqrt{5})} + \sqrt{5 (3 - \sqrt{5})}$

Decimal Form:

$3.46826299 \dots$