Question

Racionalize o denominador de cada uma das frações:

a) 2x/ ⁶√x⁵=

b) 2/3+√7

Answer 1

a)
$\dfrac {2x} {\sqrt[6]{x^{5}}}=\dfrac {2x.\sqrt[6]{x^{5}}}{\sqrt[6]{x^{5}}.\sqrt[6]{x^{5}}}=\dfrac {2x.\sqrt[6]{x^{5}}} {x^{5}}=\dfrac {2.\sqrt[6]{x^{5}}} {x^{4}}$

b)
$\dfrac {2}{3+\sqrt{7}} = \dfrac {2.(3-\sqrt{7)}} {3+\sqrt{7}. 3-\sqrt{7}} = \dfrac {6-2\sqrt{7}}{9-7} = \dfrac {6-2\sqrt{7}}{2} =3-\sqrt{7}$