Question

simplifique s radicais a)³√64x¹⁸ b)⁶√y³⁶x¹³ c)⁷√11⁹
PELO AMOR DE DEUA ME AJUDA ​

Answer 1

Resposta:

$a)\\ ~~\sqrt[3]{64.x^{18}} =\sqrt[3]{2^6.x^{18}} =2^{\frac{6}{3} }.x^\frac{18}{3} =2^2.x^6=\boxed{4x^6}$

$b)\\ ~~\sqrt[6]{y^{36}.x^{13}} =\sqrt[6]{y^{36}.x^{12}.x} =y^{\frac{36}{6} }.x^{\frac{12}{6} }.\sqrt[6]{x} =\boxed{y^6.x^2.\sqrt[6]{x} }$

$c)\\ ~~\sqrt[7]{11^9} =\sqrt[7]{11^7.11^2} =11^{\frac{7}{7} }\sqrt[7]{11^2} =\boxed{11\sqrt[7]{11^2} }$