Question

Introduceți sub radical factorii:
A. 3×3rad din 2
B. -2×3rad din -5
C. 2x×3rad din 3y

Answer 1

$1)~3*\sqrt[3]{2} =\sqrt[3]{2*3^3} \\ \\ 2)~-2*\sqrt[3]{-5} =\sqrt[3]{(-2)^3*(-5)} \\ \\ 3)~2x\sqrt[3]{3y} =\sqrt[3]{3y*(2x)^3}$

Answer 2

$A.3\cdot\sqrt[3]{2}=\sqrt[3]{2\cdot3^{3}}=\sqrt[3]{54}$

$B.(-2)\cdot\sqrt[3]{-5}=\sqrt[3]{(-2)^{3}\cdot(-5)}=\sqrt[3]{40}$

$C.2x\cdot\sqrt[3]{3y}=\sqrt[3]{3y\cdot(2x)^{3}} =\sqrt[3]{3y\cdot8x^{3}}=\sqrt[3]{24yx^{3}} =$