Question

Como resolvo extração das raízes?

a) ∛2₄.3₅ =

b) ₄√3₁₃.2₈.5₇ =

c) ∛ 2₉.7₆.3₁₂ =

Answer 1

$\sqrt[3]{2^4.3^5} = \sqrt[3]{2^3.2.3^3.3^2} =2.3 \sqrt[3]{2.3^2}=6 \sqrt[3]{18}$

$\sqrt[4]{3^1^3.2^8.5^7} = \sqrt[4]{3^1^2.3.2^4.2^4.5^4.5^3} =3^3.2.2.5 \sqrt[4]{3.5^3} =540 \sqrt[4]{375}$

$\sqrt[3]{2^9.7^6.3^1^2}= 2^3.7^2.3^4 =8 . 49 . 81=31752}$