Question

d.√125 : √5=
e.³√1000³ =
f.³√√10³x100³=
g.√1000 : √10=
h.√16 x √9=
i.³√9³ =
j.³√√10³x10³.=

Answer 1

Explicação passo-a-passo:

$d)\\ \sqrt{125} \div\sqrt{5} =\sqrt{125\div5} =\sqrt{25} =5\\ \\ e)\\ \sqrt[3]{1000^3} =1000^{3\over3}=1.000\\ \\ f)\\ \sqrt[3]{\sqrt{10^3\times100^3} } =\\ \\ \sqrt[6]{10^3\times(10^2)^3} =\\ \\ \sqrt[6]{10^3\times10^6} =\\ \\ \sqrt[6]{10^{3+6}} =\\ \\ \sqrt[6]{10^9} ~~~~simplificando\\ \\ ~~\sqrt[~6:3]{10^{9:3}} =\sqrt{10^3} =\sqrt{10^2.10} =10\sqrt{10}$

$g)\\ \sqrt{1000} \div\sqrt{10} =\sqrt{1000\div10} =\sqrt{100} =10\\ \\ h)\\ \sqrt{16} \times\sqrt{9} =\sqrt{16\times9} =\sqrt{144} =12\\ \\ i)\\ \sqrt[3]{9^3} =9^{3\over3}=9\\ \\ j)\\ \sqrt[3]{\sqrt{10^3\times10^3} } =\\ \\ \sqrt[6]{10^{3+3}} =\sqrt[6]{10^6} =10^{6\over6}=10$

Answer 2

d.√125 : √5= √(125/5) = √25 = 5
e.³√1000³ = 1000
f.³√√10³x100³= 10×100= 1000
g.√1000 : √10= √(10000/10)=√100= 10
h.√16 x √9= 4 x 3 = 12
i.³√9³ = 9
j.³√√10³x10³= √³√10³×10³ =√10x10= 10