Question

simplifique cada radical a seguir:​

Answer 1

Explicação passo-a-passo:

$a)\\ \sqrt{8ax^2} =\sqrt{2^3ax^2} =\sqrt{2^2.2ax^2} =2x\sqrt{2a} \\ \\ b)\\ \sqrt{48a^5b} =\sqrt{2^4.3a^5b} =\sqrt{2^2.2^2.3a^2.a^2.a.b} =2.2.a.a\sqrt{3ab} =4a^2\sqrt{3ab}$

$c)\\ \sqrt[3]{{81x^4\over64y^3}} =\sqrt[3]{3^4x^4\over4^3y^3}} =\sqrt[3]{3^3.3.x^3.x\over4^3y^3}} ={3x\over4y}\sqrt{3x} \\ \\ d)\\ \sqrt[3]{54a^5} =\sqrt[3]{2.3^3a^3.a^2} =3a\sqrt[3]{2a^2} \\ \\ e)\\ \sqrt[4]{{3y^5\over32}} =\sqrt[4]{3.y^4.y\over2^4.2}} ={y\over2}\sqrt[4]{{3y\over2^}}$

As letras não coincidiram ...olha diretinho