\(=\dfrac{2.\left(2-\sqrt{2}\right)}{4-2}+\dfrac{\sqrt{2.9}}{3}\)
\(=2-\sqrt{2}+\sqrt{2}=2\)
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Thực hiện phép tínha) dfrac{3}{sqrt{2}}+sqrt{dfrac{1}{2}}-2sqrt{18}+sqrt{left(1-sqrt{2}right)^2}b) dfrac{1}{sqrt{3}}+dfrac{1}{3sqrt{2}}+dfrac{1}{sqrt{3}}dfrac{sqrt{3}-sqrt{2}}{2sqrt{3}}c) sqrt[3]{dfrac{3}{4}}.sqrt[3]{dfrac{9}{16}}d) dfrac{sqrt[3]{54}}{sqrt[3]{-2}}e) sqrt[3]{5sqrt{2}+7}-sqrt[3]{5sqrt{2}+7}
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Thực hiện phép tính
a) \(\dfrac{3}{\sqrt{2}}+\sqrt{\dfrac{1}{2}}-2\sqrt{18}+\sqrt{\left(1-\sqrt{2}\right)^2}\)
b) \(\dfrac{1}{\sqrt{3}}+\dfrac{1}{3\sqrt{2}}+\dfrac{1}{\sqrt{3}}\dfrac{\sqrt{3}-\sqrt{2}}{2\sqrt{3}}\)
c) \(\sqrt[3]{\dfrac{3}{4}}.\sqrt[3]{\dfrac{9}{16}}\)
d) \(\dfrac{\sqrt[3]{54}}{\sqrt[3]{-2}}\)
e) \(\sqrt[3]{5\sqrt{2}+7}-\sqrt[3]{5\sqrt{2}+7}\)
Tìm z để cho biểu thức có nghĩasqrt{dfrac{5}{^{x^2}+6}}Thực hiện phép tính dfrac{3}{sqrt{2}}+sqrt{dfrac{1}{2}}-2sqrt{18+sqrt{left(1-sqrt{2}right)^2}}dfrac{1}{sqrt{3}}+dfrac{1}{3sqrt{2}}+dfrac{1}{sqrt{3}}dfrac{sqrt{3}-sqrt{2}}{2sqrt{3}}sqrt[3]{dfrac{3}{4}}sqrt[3]{dfrac{9}{16}}dfrac{sqrt[3]{54}}{sqrt[3]{-2}}sqrt[3]{5sqrt{2}+7}-sqrt[3]{5sqrt{2}-7}
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Tìm z để cho biểu thức có nghĩa
\(\sqrt{\dfrac{5}{^{x^2}+6}}\)
Thực hiện phép tính
\(\dfrac{3}{\sqrt{2}}+\sqrt{\dfrac{1}{2}}-2\sqrt{18+\sqrt{\left(1-\sqrt{2}\right)^2}}\)
\(\dfrac{1}{\sqrt{3}}+\dfrac{1}{3\sqrt{2}}+\dfrac{1}{\sqrt{3}}\dfrac{\sqrt{3}-\sqrt{2}}{2\sqrt{3}}\)
\(\sqrt[3]{\dfrac{3}{4}}\sqrt[3]{\dfrac{9}{16}}\)
\(\dfrac{\sqrt[3]{54}}{\sqrt[3]{-2}}\)
\(\sqrt[3]{5\sqrt{2}+7}-\sqrt[3]{5\sqrt{2}-7}\)
\(\dfrac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-1}+\dfrac{5-2\sqrt{5}}{2\sqrt{5}-4}\)
\(\left(\sqrt{3}+1\right).\dfrac{\sqrt{3}-3}{2\sqrt{3}}\)
\(\dfrac{3\sqrt{18}-2\sqrt{8}}{\sqrt{50}}\)
rút gọn
d,\(\dfrac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-1}-\dfrac{5-2\sqrt{5}}{2\sqrt{5}-4}\) e,\(\dfrac{2\sqrt{8}-\sqrt{12}}{\sqrt{18}-\sqrt{48}}-\dfrac{\sqrt{5}+\sqrt{27}}{\sqrt{30}+\sqrt{162}}\) f,\(\dfrac{3+2\sqrt{3}}{\sqrt{3}}+\dfrac{2+\sqrt{2}}{\sqrt{2}+1}-\left(2+\sqrt{3}\right)\)
rút gọn
a)sqrt{20}+sqrt{80}-sqrt{45}
b)4.sqrt{dfrac{2}{9}}+sqrt{2}+sqrt{dfrac{1}{18}}
c)dfrac{1}{sqrt{3}-1}-dfrac{1}{sqrt{3}+1}
d)dfrac{1}{sqrt{x}-1}-dfrac{1}{sqrt{x}+1}+1
e)sqrt{x}-2+dfrac{10-x}{sqrt{x}+2}
g)dfrac{1}{sqrt{x}+2}-dfrac{2}{sqrt{x}-2}-dfrac{sqrt{x}}{4-x}
Đọc tiếp
rút gọn
a)\(\sqrt{20}\)+\(\sqrt{80}\)-\(\sqrt{45}\)
b)4.\(\sqrt{\dfrac{2}{9}}\)+\(\sqrt{2}\)+\(\sqrt{\dfrac{1}{18}}\)
c)\(\dfrac{1}{\sqrt{3}-1}\)-\(\dfrac{1}{\sqrt{3}+1}\)
d)\(\dfrac{1}{\sqrt{x}-1}\)-\(\dfrac{1}{\sqrt{x}+1}\)+1
e)\(\sqrt{x}\)-2+\(\dfrac{10-x}{\sqrt{x}+2}\)
g)\(\dfrac{1}{\sqrt{x}+2}\)-\(\dfrac{2}{\sqrt{x}-2}\)-\(\dfrac{\sqrt{x}}{4-x}\)
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
a. \(\dfrac{1}{3}.\sqrt{18}-\sqrt{192}-\dfrac{\sqrt{33}}{\sqrt{11}}+3\sqrt{5\dfrac{1}{3}}\)
b. \(\sqrt{\left(2\sqrt{3}-5\right)^2}-2\sqrt{7+4\sqrt{3}}\)
GIẢI PHƯƠNG TRÌNH
a) \(\dfrac{1}{3}\sqrt{x-2}-\dfrac{2}{3}\sqrt{9x-18}+6\sqrt{\dfrac{x-2}{81}}=-4\)
b) \(\sqrt{9x^2+12x+4}=4x\)
c) \(\sqrt{9x-18}-\sqrt{4x-8}+3\sqrt{x-2}=40\)
d) \(\sqrt{5x-6}-3=0\)
Giải phương trình :
a) \(\sqrt{2x^2-\sqrt{2}x+\dfrac{1}{4}}=\sqrt{2}x\)
b)\(\sqrt{4x+8}+\dfrac{1}{3}\sqrt{9x+18}=3\sqrt{\dfrac{x+2}{4}}+\sqrt{2}\)
tính
A=\(\left(1-\sqrt{7}\right).\dfrac{\sqrt{7}+7}{2\sqrt{7}}\)
B=\(3\sqrt{3}+4\sqrt{12}-5\sqrt{27}\)
C=\(\sqrt{32}-\sqrt{50}+\sqrt{18}\)
D=\(\sqrt{72}+\sqrt{4\dfrac{1}{2}}-\sqrt{32}-\sqrt{162}\)
E=\(\dfrac{1}{2}\sqrt{48}-2\sqrt{75}-\dfrac{\sqrt{33}}{\sqrt{11}}+5\sqrt{1\dfrac{1}{3}}\)