Question

TÍNH

( √3 - 2 )².( √3 + 2 )³

 

Answer 1

\(\left(\sqrt{3}-2\right)^2\left(\sqrt{3}+2\right)^3\)

\(=\left(3-2\cdot\sqrt{3}\cdot2+4\right)\left(3\sqrt{3}+3\cdot3\cdot2+3\cdot\sqrt{3}\cdot4+2^3\right)\)

\(=\left(7-4\sqrt{3}\right)\left(15\sqrt{3}+26\right)\)

\(=105\sqrt{3}+182-180-104\sqrt{3}\)

\(=\sqrt{3}+2\)