Resposta:

Explicação passo a passo:

a) [tex]\sqrt{49m^3}[/tex] = [tex]\sqrt{7^2 . m^2 . m}[/tex]  = [tex]7m\sqrt{m}[/tex]

b) [tex]\sqrt{9x^5} = \sqrt{3^2 . x^2 . x^2 . x} = 3.x.x\sqrt{x} = 3x^2\sqrt{x}[/tex]

c) [tex]\sqrt[3]{8a^4} = \sqrt[3]{2^3 . a^3.a} =2.a \sqrt[3]{a}[/tex]

d) [tex]\sqrt[4]{16m^5} = \sqrt[4]{2^4.m^4.m} = 2.m\sqrt[4]{m}[/tex]

e) [tex]\sqrt[3]{27a^8} = \sqrt[3]{3^3.a^3.a^3.a^2} = 3.a.a\sqrt[3]{a^2} = 3a^2\sqrt[3]{a^2}[/tex]

f) [tex]\sqrt[3]{8m^10} = \sqrt[3]{2^3.m^3.m^3.m^3.m} = 2m^3\sqrt[3]{m}[/tex]

g) [tex]\sqrt{4a^5} = \sqrt{2^2.a^2.a^2.a} = 2a^2\sqrt{a}[/tex]

h)[tex]\sqrt{25a^4x} = \sqrt{5^2.a^2.a^2.x} = 5a^2\sqrt{x}[/tex]