......................?

mik ko biết

mong bn thông cảm 

nha ................

E = \(6x+\sqrt{9x^2-12x+4}\)

E = \(6x+\sqrt{\left(3x-2\right)^2}\)

E = \(6x+\left|3x-2\right|\)

E = \(6x+3x-2\)

E = \(9x-2\)

F = \(5x-\sqrt{x^2+4x+4}\)

F = \(5x-\sqrt{\left(x+2\right)^2}\)

F = \(5x-\left|x+2\right|\)

F = \(5x-x+2\)

F = \(4x+2\)

a) Ta có: \(VP=\left(3+\sqrt{6}\right)^2\)

\(=3^2+2\cdot3\cdot\sqrt{6}+\left(\sqrt{6}\right)^2\)

\(=9+6\sqrt{6}+6\)

\(=15+6\sqrt{6}\)≠VP

=> Sai đề rồi bạn

\(\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{\sqrt{2}+2\sqrt{3}+\sqrt{18-8\sqrt{2}}}}}-\sqrt{3}\)\(=\sqrt{6+2.1,4.\sqrt{3-\sqrt{1,4+2.1,7+\sqrt{18-8.1,4\text{​​}}}}}-1,7\)

\(=\sqrt{6+2,8\sqrt{3-\sqrt{1,4+3,4+\sqrt{18-11,2}}}}-1,7\)

\(=\sqrt{8,8\sqrt{3-\sqrt{4,8+\sqrt{6,8}}}}-1,7\)

\(=\sqrt{8,8\sqrt{3-\sqrt{4,8+2,6}}}-1,7\)

\(=\sqrt{8,8\sqrt{3-\sqrt{7,4}}}-1,7\)

\(=\sqrt{8,8\sqrt{3-2,7}}-1,7\)

\(=\sqrt{88\sqrt{0,3}}-1,7\)

\(=\sqrt{88.0,54}-1,7\)

\(=\sqrt{47,52}-1,7\)

\(=6,9-1,7\)

\(=5,2\)

2,Mệt với câu 1 rồi nên câu 2 và câu 3 chịu

Cách 1 :\(A=\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}\)

\(=\sqrt{\sqrt{5}^2-2\sqrt{5}+\sqrt{1}^2}-\sqrt{\sqrt{5}^2+2\sqrt{5}+\sqrt{1}^2}\)

\(=\sqrt{\left(\sqrt{5}-\sqrt{1}\right)^2}-\sqrt{\left(\sqrt{5}+\sqrt{1}\right)^2}\)

\(=|\sqrt{5}-\sqrt{1}|-|\sqrt{5}+\sqrt{1}|=\sqrt{5}-\sqrt{1}-\sqrt{5}-\sqrt{1}=-2\)

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

\(< =>A^2=6-2\sqrt{5}-6-2\sqrt{5}+2\sqrt{36-20}\)

\(< =>A^2=8-2\sqrt{5}-2\sqrt{5}=8-2\left(2\sqrt{5}\right)=8-4\sqrt{5}\)

<=>...

\(B=\frac{\sqrt{3-2\sqrt{2}}}{\sqrt{17-12\sqrt{2}}}-\frac{\sqrt{3+2\sqrt{2}}}{\sqrt{17+12\sqrt{2}}}\)

\(=\frac{\sqrt{2}-\sqrt{1}}{\sqrt{17-12\sqrt{2}}}-\frac{\sqrt{2}+\sqrt{1}}{\sqrt{17+12\sqrt{2}}}\)

\(=\frac{\left(\sqrt{2}-\sqrt{1}\right)\sqrt{17+12\sqrt{2}}-\left(\sqrt{2}+1\right)\sqrt{17-12\sqrt{2}}}{\sqrt{17^2-\left(12\sqrt{2}\right)^2}}\)

tự làm tiếp đi , mình lười viết