Trigonometry Examples

$\sqrt[7]{2 + \sqrt{3 - \sqrt{2}}} \cdot \sqrt[7]{\sqrt{2} - 1} \cdot \sqrt[7]{2 - \sqrt{3 - \sqrt{2}}}$

Step 1

Combine using the product rule for radicals.

$\sqrt[7]{(2 + \sqrt{3 - \sqrt{2}}) \cdot (\sqrt{2} - 1)} \cdot \sqrt[7]{2 - \sqrt{3 - \sqrt{2}}}$

Step 2

Combine using the product rule for radicals.

$\sqrt[7]{(2 + \sqrt{3 - \sqrt{2}}) \cdot (\sqrt{2} - 1) \cdot (2 - \sqrt{3 - \sqrt{2}})}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt[7]{(2 + \sqrt{3 - \sqrt{2}}) \cdot (\sqrt{2} - 1) \cdot (2 - \sqrt{3 - \sqrt{2}})}$

Decimal Form:

$1$