Basic Math Examples

$(\sqrt{u} + \sqrt{v}) (\sqrt{u - \sqrt{\sqrt{v}}})$

Step 1

Rewrite $\sqrt{\sqrt{v}}$ as $\sqrt[4]{v}$ .

$(\sqrt{u} + \sqrt{v}) \sqrt{u - \sqrt[4]{v}}$

Step 2

Apply the distributive property.

$\sqrt{u} \sqrt{u - \sqrt[4]{v}} + \sqrt{v} \sqrt{u - \sqrt[4]{v}}$

Step 3

Combine using the product rule for radicals.

$\sqrt{u (u - \sqrt[4]{v})} + \sqrt{v} \sqrt{u - \sqrt[4]{v}}$

Step 4

Combine using the product rule for radicals.

$\sqrt{u (u - \sqrt[4]{v})} + \sqrt{v (u - \sqrt[4]{v})}$