\(=6\sqrt{3}-42\sqrt{6}+12\sqrt{6}-12\sqrt{7}-12\sqrt{6}\)

\(=6\sqrt{3}-12\sqrt{7}-42\sqrt{6}\)

Bài 1: 

a) 4√24 - 3√54 + 5√6 - √150

= 8√6 - 9√6 + 5√6 - 5√6

= -√6

a: \(=4\cdot2\sqrt{6}-3\cdot3\sqrt{6}+5\sqrt{6}-5\sqrt{6}\)

\(=8\sqrt{6}-9\sqrt{6}=-\sqrt{6}\)

b: \(=2\left(3-2\sqrt{2}\right)-2\left(3+2\sqrt{2}\right)\)

\(=6-4\sqrt{2}-6-4\sqrt{2}=-8\sqrt{2}\)

c: \(=\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)

\(=\dfrac{\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}}{\sqrt{2}}\)

\(=\dfrac{\sqrt{5}-1-\sqrt{5}-1}{\sqrt{2}}=-\dfrac{2}{\sqrt{2}}=-\sqrt{2}\)

\(=3\sqrt{6}-2\sqrt{6}+\dfrac{3\sqrt{6}}{2}-\sqrt{6}=0+\dfrac{3\sqrt{6}}{2}=\dfrac{3\sqrt{6}}{2}\)

\(a,=4\sqrt{6}-15\sqrt{6}+\sqrt{\left(2+\sqrt{6}\right)^2}=-11\sqrt{6}+2+\sqrt{6}=2-10\sqrt{6}\\ b,=\dfrac{\sqrt{3}\left(\sqrt{6}-2\right)}{\sqrt{6}-2}+\dfrac{4\left(\sqrt{3}-1\right)}{2}+\left|3\sqrt{3}-12\right|=\sqrt{3}+2\sqrt{3}-2+12-3\sqrt{3}=10\)

b: Ta có: \(\dfrac{\sqrt[3]{135}}{\sqrt[3]{5}}-\sqrt[3]{54}\cdot\sqrt[3]{4}\)

\(=\sqrt[3]{\dfrac{135}{5}}-\sqrt[3]{54\cdot4}\)

=3-6

=-3

\(2\sqrt{24}-\sqrt{54}+3\sqrt{6}=4\sqrt{6}-3\sqrt{6}+3\sqrt{6}=4\sqrt{6}\)

a: \(=4\sqrt[3]{2}-9\sqrt[3]{2}++6\sqrt[3]{2}=\sqrt[3]{2}\)

b: \(=6\sqrt[3]{3}-15\sqrt[3]{3}+16\sqrt[3]{3}=7\sqrt[3]{3}\)

c: \(=-7\sqrt[3]{3}+3\sqrt[3]{3}+6\sqrt[3]{3}=2\sqrt[3]{3}\)

d: \(=8\sqrt[3]{5}-10\sqrt[3]{5}+2=-2\sqrt[3]{5}+2\)

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

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

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

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

\(x^4-4x^2+1=x^4-\left(2x\right)^2+1\)1 =0    

=>\(\left(x^2-1\right)^2\)= 0

=>\(x^2-1=0\)=>x= +-1