Algebra Examples

$\sqrt[4]{25} (\cos (0.524) + i \sin (0.524))$

Step 1

Rewrite $25$ as $5^{2}$ .

$\sqrt[4]{5^{2}} (\cos (0.524) + i \sin (0.524))$

Step 2

Rewrite $\sqrt[4]{5^{2}}$ as $\sqrt{\sqrt{5^{2}}}$ .

$\sqrt{\sqrt{5^{2}}} (\cos (0.524) + i \sin (0.524))$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt{5} (\cos (0.524) + i \sin (0.524))$

Step 4

Apply the distributive property.

$\sqrt{5} \cos (0.524) + \sqrt{5} i \sin (0.524)$