\(\sqrt{6-4\sqrt{2}}\)\(+\sqrt{22-12\sqrt{2}}\)
\(=\sqrt{4-4\sqrt{2}+2}\)\(+\sqrt{18-12\sqrt{2}+4}\)
\(=\sqrt{\left(2-\sqrt{2}\right)^2}\)\(+\sqrt{\left(2-3\sqrt{2}\right)^2}\)
\(=2-\sqrt{2}+3\sqrt{2}-2\)
\(=\left(2-2\right)+\left(-\sqrt{2}+3\sqrt{2}\right)\)
\(=0+2\sqrt{2}\)\(=2\sqrt{2}\)
\(\sqrt{17-12\sqrt{2}}\)\(+\sqrt{9+4\sqrt{2}}\)
\(=\sqrt{\left(3-2\sqrt{2}\right)^2}\)\(+\sqrt{\left(2\sqrt{2}+1\right)^2}\)
\(=\left|3-2\sqrt{2}\right|\)\(+\left|2\sqrt{2}+1\right|\)
\(=3-2\sqrt{2}\)\(+2\sqrt{2}+1\)
\(=\left(3+1\right)+\left(-2\sqrt{2}+2\sqrt{2}\right)\)
\(=4+0=4\)
a) M=\(\sqrt{6-4\sqrt{2}}+\sqrt{22-12\sqrt{2}}\)
=\(\sqrt{\left(2-\sqrt{2}\right)^2}+\sqrt{\left(3\sqrt{2}-2\right)^2}\)
=\(2-\sqrt{2}+3\sqrt{2}-2=2\sqrt{2}\)
b) N=\(\sqrt{117-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
=\(\sqrt{(3-2\sqrt{2})^2}+\sqrt{(2\sqrt{2}+1)^2}\)
=\(3-2\sqrt{2}+2\sqrt{2}+1=4\)
a) M=\(2\sqrt{2}\)
b)N= 4
\(a.M=\sqrt{6-4\sqrt{2}+\sqrt{22-12\sqrt{2}}}\)
\(=\sqrt{\left(2-\sqrt{2}\right)^2}+\sqrt{\left(3\sqrt{2}-2\right)^2}\)
\(=2-\sqrt{2}+3\sqrt{2}-2\)
\(=2\sqrt{2}\)
\(b.N=\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
\(=\sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{9+4\sqrt{2}}\)
\(=\sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{\left(2\sqrt{2}+1\right)^2}\)
\(=3-2\sqrt{2}+2\sqrt{2}+1\)
\(=4\)
\(M=\sqrt{6-4\sqrt{2}}+\sqrt{22-12\sqrt{2}}\\ =\sqrt{\left(2-\sqrt{2}\right)^2}+\sqrt{\left(3\sqrt{2-2}\right)^2}\\ =2-\sqrt{2}+3\sqrt{2}-2\\ =2\sqrt{2}\\ b,N=\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\\ \sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{\left(2\sqrt{2+1}\right)^2}\\ =3-2\sqrt{2+2\sqrt{2}}+1\\ =4\)
a) M= \(2\sqrt{2}\)
b) N= 4
a) M = 2\(\sqrt{2}\)
b) N= 4
a\()\) M =\(\sqrt{6-4\sqrt{2}+\sqrt{22-12\sqrt{2}}}\)
=\(\sqrt{(2-\sqrt{2})^2}+\sqrt{(3\sqrt{2}-2)^2}\)
=2-\(\sqrt{2}+3\sqrt{2-2=2\sqrt{2}}\)
b\()\)N =\(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
=\(\sqrt{(3-2\sqrt{2)}^2}+\sqrt{(2\sqrt{2+1)}^2}\)
=3-2\(\sqrt{2}+2\sqrt{2+1=4}\)
a)M=\(\sqrt{6-4\sqrt{2}}+\sqrt{22-12\sqrt{2}}=6-4\sqrt{2}\)
b)N=\(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}=4\)
a) M = \(2\sqrt{2}\)b) N =4
a) M=\(2\sqrt{2}\)
b) N=4
a, M = \(\sqrt{6-4\sqrt{2}}+\sqrt{22-12\sqrt{2}}\)
M = \(\sqrt{\left(2-\sqrt{2}\right)^2}+\sqrt{\left(3\sqrt{2}-2\right)^2}\)
M = \(2-\sqrt{2}+3\sqrt{2}-2\)
M = \(2\sqrt{2}\)
b, N = \(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
N = \(\sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{\left(2\sqrt{2}+1\right)^2}\)
N = \(3-2\sqrt{2}+2\sqrt{2}+1\)
N = 4
a) 2\(\sqrt{2}\)
b) 4
M = 2\(\sqrt{2}\)
N = 4
a) M= \(\sqrt{6-4\sqrt{2}}+\sqrt{22-12\sqrt{2}}\)
=\(\sqrt{4-4\sqrt{2}+2}\) +\(\sqrt{18-12\sqrt{2}+4}\)
=\(\sqrt{\left(2-\sqrt{2}\right)^2}+\sqrt{\left(3\sqrt{2}-2\right)^2}\)
=\(2-\sqrt{2}+3\sqrt{2}-2\)
=\(2\sqrt{2}\)
b) N=\(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
=\(\sqrt{9-12\sqrt{2}+8}\sqrt{8+4\sqrt{2}+1}\)
=\(\sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{\left(2\sqrt{2}+1\right)^2}\)
=\(3-2\sqrt{2}+2\sqrt{2}+1\)
=4
a) \(2\sqrt{2}\)
b) 3 - \(2\sqrt{2}\)
a) \(\sqrt{2}\)
b)4
a) 2\(\sqrt{2}\)
b) 4
a) 2 căn 2
b) 4
a) 2\(\sqrt{2}\)
b) 4
a.M=\(2\sqrt{2}\)
b.N=4
a) M = 2\(\sqrt{2}\)
b) N = 4
a) \(2\sqrt{2}\)
b) 4