Question

Calcule e simplifique.

A) √2×√8

B) √5×√10×√2

C) √3/5×√5/3

D) (√9)² (o índice é 4)

E) √6/√3

F) ∛24 /∛3

G) √3×√2

H) √3/2÷√1/2

Answer 1

Resposta:

$a)\\ \sqrt{2} \times\sqrt{8} =\sqrt{2.8}= \sqrt{16} =4\\ \\ b)\\ \sqrt{5} \times\sqrt{10} \times\sqrt{2} =\sqrt{5.10.2} =\sqrt{100} =10\\ \\ c)\\ \sqrt{{3\over5}} \times\sqrt{{5\over3}} =\sqrt{{3\over5}.{5\over3}} =\sqrt{{15\over15}} =\sqrt{1} =1\\ \\ d)\\ \sqrt[4]{9^2} =\sqrt[4]{(3^2)^2} =\sqrt[4]{3^4} =3\\ \\ e)\\ {\sqrt{6} \over\sqrt{3}}=\sqrt{{6\over3}} =\sqrt{2}$

$f)\\{ \sqrt[3]{24} \over\sqrt[3]{3} }=\sqrt[3]{{24\over3}} =\sqrt[3]{8} =\sqrt[3]{2^3} =2\\ \\g)\\ \sqrt{3}  \times\sqrt{2} =\sqrt{6}$