Question

Racionalizar os demoninadores: 36/√8 -√20 e x/ ⁵√64

ajuda mds​

Answer 1

Explicação passo a passo:

$\frac{36}{\sqrt{8}-\sqrt{20} } = \frac{36}{2\sqrt{2}-2\sqrt{5} } = \frac{36}{2(\sqrt{2}- \sqrt{5}) } = \frac{18.(\sqrt{2}+\sqrt{5}) }{(\sqrt{2}-\sqrt{5}).(\sqrt{2}+\sqrt{5} ) } = \frac{18(\sqrt{2}+\sqrt{5}) }{2-5} = \frac{18(\sqrt{2}+\sqrt{5}) }{-3} = -6(\sqrt{2} + \sqrt{5}) = -6\sqrt{2}-6\sqrt{5}$

$\frac{x}{\sqrt[5]{64} } = \frac{x}{2\sqrt[5]{2} } = \frac{x.\sqrt[5]{2^{4} } }{2\sqrt[5]{2}.\sqrt[5]{2^{4} } } = \frac{\sqrt[5]{16}x }{2.2} = \frac{\sqrt[5]{16}x }{4}$