Question

Simplifique os radicais ⁵√a⁵ B)²√125 C¹⁵√x⁵ Efetue e simplifique se possivel √50-2√22 B)-8√5-3√5+7√5=​

Answer 1

Resposta passo a passo:

Simplifique os radicais:

$A)$ $\sqrt[5]{a^{5} } =a^{\frac{5}{5} } =a^{1} =a$

$B)$ $\sqrt[2]{125} =\sqrt[2]{5^{2}.5 } =\sqrt[2]{5^{2} } \sqrt[2]{5} =5^{\frac{2}{2} } \sqrt[2]{5} =5^{1} \sqrt[2]{5} =5\sqrt[2]{5}$

$C)$ $\sqrt[15]{x^{5} } =x^{\frac{5}{15} } =x^{\frac{1}{3} } =\sqrt[3]{x^{1} } =\sqrt[3]{x}$

Efetue e simplifique se possível:

$A)$ $\sqrt{50} -2\sqrt{22} =\sqrt{5^{2}.2 } -2\sqrt{22} =\sqrt{5^{2} } \sqrt{2} -2\sqrt{22} =5\sqrt{2} -2\sqrt{22}$

$B)$ $-8\sqrt{5} -3\sqrt{5} +7\sqrt{5} =(-8-3+7)\sqrt{5} =-(8+3-7)\sqrt{5} =-4\sqrt{5}$