=\(\left(4\sqrt{2}-12\sqrt{2}+6\sqrt{2}\right):2\)
=\(-2\sqrt{2}:2\)
=\(-\sqrt{2}\)
=\(\left(4\sqrt{2}-12\sqrt{2}+6\sqrt{2}\right):2\)
=\(-2\sqrt{2}:2\)
=\(-\sqrt{2}\)
\(\sqrt{17-12\sqrt{2}}-\sqrt{24-8\sqrt{8}}\)
\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
cần gấp
rút gọn các câu sau
a,\(2\sqrt{18}-4\sqrt{50}+3\sqrt{32}\)
b,\(\sqrt{\left(\sqrt{8}-4\right)^2}+\sqrt{8}\)
c,\(\sqrt{14-6\sqrt{5}}+\sqrt{6+2\sqrt{5}}\)
6) Thực hiện các phép tính
a. \(\sqrt{2}\left(\sqrt{8}+\sqrt{32}-\sqrt{98}\right)\)
b. \(\dfrac{2}{\sqrt{5}+2}+\dfrac{2}{2-\sqrt{5}}\)
c. \(\left(2+\sqrt{3}\right)\sqrt{11-6\sqrt{2}}\)
Mng giúp mik vs ạ >.<!!
rút gọn biểu thức \(\sqrt{14+8\sqrt{3}}\)
\(\sqrt{8+2\sqrt{15}-\sqrt{5}}\)
\(\sqrt{\left(\sqrt{2-3}\right)^2}.\sqrt{11+6\sqrt{2}}\)
\(2\sqrt{32}+4\sqrt{8}-5\sqrt{18}\)
\(\sqrt{5-2\sqrt{6}}-\sqrt{2-\sqrt{3}}.\sqrt{2}+\sqrt{2}\)
1) thực hiện phép tính
a) \(2\sqrt{\dfrac{16}{3}}-3\sqrt{\dfrac{1}{27}}-6\sqrt{\dfrac{4}{75}}\)
b) \(\left(6\sqrt{\dfrac{8}{9}}-5\sqrt{\dfrac{32}{25}}+14\sqrt{\dfrac{18}{49}}\right).\sqrt{\dfrac{1}{2}}\)
c) \(\sqrt{\left(\sqrt{2}-2\right)^2}-\sqrt{6+4\sqrt{2}}\)
giúp mk vs ạ mk đang cần gấp
Bài 1 : \(a)\) Chứng minh : \(cos15^o=\dfrac{\sqrt{6}+\sqrt{2}}{4}\)
\(b)\) Trục căn thức của biểu thức : \(A=\dfrac{1}{2+\sqrt[3]{2}+\sqrt[3]{32.cos^415^o-10-8\sqrt{3}}}\)
Tính
a/\(\sqrt{9+4\sqrt{5}}\) b/\(\sqrt{3+2\sqrt{2}}\) c/\(\sqrt{7-2\sqrt{10}}\)
d/\(\sqrt{8+2\sqrt{15}}\) e/\(\sqrt{8}-3\sqrt{32}+\sqrt{72}\) f/\(6\sqrt{12}-\sqrt{20}-2\sqrt{27}+\sqrt{125}\)
g/\(2\sqrt{5}-\sqrt{125}-\sqrt{80}\) h/\(3\sqrt{2}-\sqrt{8}+\sqrt{50}-4\sqrt{32}\)
\(\sqrt{\sqrt{29}-6\sqrt{6}}-\sqrt{32-6\sqrt{15}}\)
\(\left(\sqrt{8}-3\sqrt{2}-\sqrt{10}\right).\sqrt{2}-\sqrt{20}\)
Giúp tớ nha , tớ đang vội ạ :(( cám ơn rất nhiều
tính : \(a,\sqrt{3-4\sqrt{\text{5}}}-\sqrt{9+\sqrt{30}}\) l,\(\sqrt{31-8\sqrt{1\text{5}}}+\sqrt{24-6\sqrt{1\text{5}}}\)
b,\(\sqrt{17-12\sqrt{2}}-\sqrt{24-8\sqrt{8}}\) m,\(\sqrt{49-\text{5}\sqrt{96}}-\sqrt{49+\text{5}\sqrt{96}}\)
\(c,\sqrt{3+2\sqrt{2}}-\sqrt{6-4\sqrt{2}}\) n, \(\sqrt{3+2\sqrt{2}}+\sqrt{\text{5}-2\sqrt{4}}\)
d,\(\sqrt{8+2\sqrt{1\text{5}}}-\sqrt{8-2\sqrt{1\text{5}}}\)
f,\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
g,\(\sqrt{6+2\sqrt{\text{5}}}+\sqrt{6-2\sqrt{\text{5}}}\)
h,\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
k,\(\sqrt{1\text{5}-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
Thực hiện phép tính
a) \(\left(2-\sqrt{3}\right)^2-\sqrt{4-2\sqrt{3}}+\sqrt{12}\)
b)\(\frac{2\sqrt{12}-\sqrt{6}}{2\sqrt{6}-\sqrt{3}}+\frac{10+\sqrt{5}}{2\sqrt{15}+\sqrt{3}}\)
c)\(\left(\frac{3+2\sqrt{3}}{\sqrt{3}+2}+\frac{2+\sqrt{2}}{\sqrt{2}+1}\right):\left(\sqrt{2}+\sqrt{3}\right)\)
d)\(\sqrt{10-4\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
e)\(\sqrt{16-6\sqrt{7}}+\sqrt{32-8\sqrt{7}}\)
f)\(\sqrt{28-16\sqrt{3}}+\sqrt{73-40\sqrt{3}}\)