Question

Racionalize os denominadores:


a) 25
√5

b) 6
(4√3)

c) √7-√7
√2+2

Answer 1

Resolução:

$\mathsf{a)\: \: \dfrac{25}{\sqrt{5}}=\dfrac{25\cdot \sqrt{5}}{\sqrt{5}\cdot \sqrt{5}}=\dfrac{25\sqrt{5}}{5}=\boxed{\mathsf{5\sqrt{5}}}}\: \: \checkmark$

$\mathsf{b)\: \: \dfrac{6}{4\sqrt{3}}=\dfrac{6\cdot \sqrt{3}}{4\sqrt{3}\cdot \sqrt{3}}=\dfrac{6\sqrt{3}}{4\cdot 3}=\dfrac{\diagup\!\!\!\!6\sqrt{3}}{2\cdot \diagup\!\!\!\!6}=\boxed{\mathsf{\dfrac{\sqrt{3}}{2}}}}\: \: \checkmark$

$\mathsf{c)\: \: \dfrac{\sqrt{7}-\sqrt{7}}{\sqrt{2}+2}=\dfrac{0}{\sqrt{2}+2}=\boxed{\mathsf{0}}}\: \: \checkmark$