Question

Thực hiên phép tính 

a, \(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\)

b, \(2\sqrt{3}\left(\sqrt{27}+2\sqrt{48}-\sqrt{75}\right)\)

c, \(\left(1+\sqrt{3-\sqrt{2}}\right)\left(1+\sqrt{3}+\sqrt{2}\right)\)

d,\(\left(\sqrt{\sqrt{11}+\sqrt{7}}\right)-\left(\sqrt{\sqrt{11}-\sqrt{7}}\right)^2\)

giải giùm nha

 

Answer 1

a) \(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}=2\sqrt{3}+6\sqrt{3}+15\sqrt{3}-36\sqrt{3}\)

\(=\left(2+6+15-36\right)\sqrt{3}=-13\sqrt{3}\)

b) \(2\sqrt{3}\left(\sqrt{27}+2\sqrt{48}-\sqrt{75}\right)=6\left(3+8-5\right)=36\)

 

Answer 2

a)\(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\)

\(=\sqrt{4\cdot3}+2\sqrt{9\cdot3}+3\sqrt{25\cdot3}-9\sqrt{16\cdot3}\)

\(=2\sqrt{3}+6\sqrt{3}+15\sqrt{3}-36\sqrt{3}\)

\(=-13\sqrt{3}\)

b)\(2\sqrt{3}\left(\sqrt{27}+2\sqrt{48}-\sqrt{75}\right)\)

\(=2\sqrt{3}\left(\sqrt{9\cdot3}+2\sqrt{16\cdot3}-\sqrt{25\cdot3}\right)\)

\(=2\sqrt{3}\left(3\sqrt{3}+8\sqrt{3}-5\sqrt{3}\right)\)

\(2\sqrt{3}\cdot6\sqrt{3}=12\cdot3=36\)

 

Answer 3

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