Question

[Hoang Minh]

rút gọn biểu thức sau 

a,\(5\sqrt{48}-4\sqrt{27}-2\sqrt{57}+\sqrt{108}\)   

b,\(2\sqrt{24}-2\sqrt{54}+3\sqrt{6}-\sqrt{150}\)

Answer 1

[HT.Phong (9A5)]

a) \(5\sqrt{48}-4\sqrt{27}-2\sqrt{57}+\sqrt{108}\)

\(=20\sqrt{3}-12\sqrt{3}-2\sqrt{57}+6\sqrt{3}\)

\(=\left(20-12+6\right)\sqrt{3}-2\sqrt{57}\)

\(=14\sqrt{3}-2\sqrt{57}\)

b) \(2\sqrt{24}-2\sqrt{54}+3\sqrt{6}-\sqrt{150}\)

\(=4\sqrt{6}-6\sqrt{6}+3\sqrt{6}-5\sqrt{6}\)

\(=\left(4-6+3-5\right)\sqrt{6}\)

\(=-4\sqrt{6}\)