Chương I - Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
Bài 1: Rút gọn
a)sqrt{4+sqrt{10+2sqrt{5}}}+sqrt{4-sqrt{10+2sqrt{5}}} ,
b)sqrt{4+sqrt{15}}+sqrt{4-sqrt{15}}-2sqrt{3-sqrt{5}}
c)Asqrt{4+sqrt{5sqrt{3}+5sqrt{48-10sqrt{7+4sqrt{3}}}}}
d)Bsqrt{6+2sqrt{2}sqrt{3-sqrt{sqrt{2}+sqrt{12}+sqrt{18-8sqrt{2}}}}}
e)Csqrt{sqrt{5}-sqrt{3-sqrt{29-12sqrt{5}}}}
f)D dfrac{left(5+4sqrt{6}right)left(49-20sqrt{6}right)left(5-2sqrt{6}right)sqrt{5-2sqrt{6}}}{9sqrt{3}-11sqrt{2}}
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Bài 1: Rút gọn
a)\(\sqrt{4+\sqrt{10+2\sqrt{5}}}\)+\(\sqrt{4-\sqrt{10+2\sqrt{5}}}\) ,
b)\(\sqrt{4+\sqrt{15}}\)+\(\sqrt{4-\sqrt{15}}\)-\(2\sqrt{3-\sqrt{5}}\)
c)A=\(\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}\)
d)B=\(\sqrt{6+2\sqrt{2}\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-8\sqrt{2}}}}}\)
e)C=\(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
f)D= \(\dfrac{\left(5+4\sqrt{6}\right)\left(49-20\sqrt{6}\right)\left(5-2\sqrt{6}\right)\sqrt{5-2\sqrt{6}}}{9\sqrt{3}-11\sqrt{2}}\)
1. so sánh
a. 3 + sqrt{5}và sqrt{2}+sqrt{6} b. 2 + sqrt{3} và sqrt{5+4sqrt{ }3}
c. sqrt{5}+sqrt{7} và sqrt{12+2sqrt{ }35} d. sqrt{2013} + sqrt{2015} và 2sqrt{2014}
2.tính
a. sqrt{14+6sqrt{ }5} + sqrt{14-6sqrt{ }5} b. sqrt{6+4sqrt{ }2}+sqrt{11-6sqrt{ }2}
c. sqrt{29-12sqrt{ }5}-sqrt{29+12sqrt{ }5} d. sqrt{30+10sqrt{ }7}+sqrt{30-10sqrt{ }7}
e.sqrt{30+12sqrt{ }6}+sqrt{30-12sqrt{ }6} f. sqrt...
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1. so sánh
a. 3 + \(\sqrt{5}và\) \(\sqrt{2}+\sqrt{6}\) b. 2 + \(\sqrt{3}\) và \(\sqrt{5+4\sqrt{ }3}\)
c. \(\sqrt{5}+\sqrt{7}\) và \(\sqrt{12+2\sqrt{ }35}\) d. \(\sqrt{2013}\) + \(\sqrt{2015}\) và 2\(\sqrt{2014}\)
2.tính
a. \(\sqrt{14+6\sqrt{ }5}\) + \(\sqrt{14-6\sqrt{ }5}\) b. \(\sqrt{6+4\sqrt{ }2}+\sqrt{11-6\sqrt{ }2}\)
c. \(\sqrt{29-12\sqrt{ }5}-\sqrt{29+12\sqrt{ }5}\) d. \(\sqrt{30+10\sqrt{ }7}+\sqrt{30-10\sqrt{ }7}\)
e.\(\sqrt{30+12\sqrt{ }6}+\sqrt{30-12\sqrt{ }6}\) f. \(\sqrt{4+\sqrt{ }7}-\sqrt{4-\sqrt{ }7}-\sqrt{2}\)
1) Tính giá trị biểu thức
a) A dfrac{2}{sqrt{3}+1} + dfrac{1}{sqrt{3}-2} +dfrac{6}{sqrt{3}+3}
b) B dfrac{-7}{sqrt{6}+sqrt{5}} + dfrac{sqrt{2}}{sqrt{6}} - dfrac{7}{2+sqrt{5}}
c) C dfrac{5+sqrt{5}}{5-sqrt{5}} + dfrac{5-sqrt{5}}{5+sqrt{5}}
d) D left(dfrac{2}{sqrt{5}-sqrt{3}}-dfrac{2}{sqrt{5}+sqrt{3}}-4right):dfrac{2+sqrt{3}}{sqrt{3}-2}
2) Tính giá trị biểu thức
a) A sqrt{5+2sqrt{6}}-sqrt{5-2sqrt{6}}
b) B sqrt{17-12sqrt{2}}-sqrt{9+4sqrt{2}}
c) C sqrt{13+30sqrt{2+sqrt{9+4sqrt{2}}}}
d) D...
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1) Tính giá trị biểu thức
a) A= \(\dfrac{2}{\sqrt{3}+1}\) + \(\dfrac{1}{\sqrt{3}-2}\) +\(\dfrac{6}{\sqrt{3}+3}\)
b) B= \(\dfrac{-7}{\sqrt{6}+\sqrt{5}}\) + \(\dfrac{\sqrt{2}}{\sqrt{6}}\) - \(\dfrac{7}{2+\sqrt{5}}\)
c) C= \(\dfrac{5+\sqrt{5}}{5-\sqrt{5}}\) + \(\dfrac{5-\sqrt{5}}{5+\sqrt{5}}\)
d) D= \(\left(\dfrac{2}{\sqrt{5}-\sqrt{3}}-\dfrac{2}{\sqrt{5}+\sqrt{3}}-4\right):\dfrac{2+\sqrt{3}}{\sqrt{3}-2}\)
2) Tính giá trị biểu thức
a) A= \(\sqrt{5+2\sqrt{6}}-\sqrt{5-2\sqrt{6}}\)
b) B= \(\sqrt{17-12\sqrt{2}}-\sqrt{9+4\sqrt{2}}\)
c) C= \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
d) D= \(\sqrt{12-3\sqrt{7}}-\sqrt{12+3\sqrt{7}}\)
Các bạn giúp mk với nhé! Mai mk phải nộp r
Bài 1: Rút gọn
a)sqrt{4+sqrt{10+2sqrt{5}}}+sqrt{4-sqrt{10+2sqrt{5}}} ,
b)sqrt{4+sqrt{15}}+sqrt{4-sqrt{15}}-2sqrt{3-sqrt{5}}
c)Asqrt{4+sqrt{5sqrt{3}+5sqrt{48-10sqrt{7+4sqrt{3}}}}}
d)Bsqrt{6+2sqrt{2}sqrt{3-sqrt{sqrt{2}+sqrt{12}+sqrt{18-8sqrt{2}}}}}
e)Csqrt{sqrt{5}-sqrt{3-sqrt{29-12sqrt{5}}}}
f)Ddfrac{left(5+2sqrt{6}right)left(49-20sqrt{6}right)left(5-2sqrt{6}right)sqrt{5-2sqrt{6}}}{9sqrt{3}-11sqrt{2}}
Mình sửa lại để m.n dễ nhìn hơn!
Đọc tiếp
Bài 1: Rút gọn
a)\(\sqrt{4+\sqrt{10+2\sqrt{5}}}\)+\(\sqrt{4-\sqrt{10+2\sqrt{5}}}\) ,
b)\(\sqrt{4+\sqrt{15}}\)+\(\sqrt{4-\sqrt{15}}\)-\(2\sqrt{3-\sqrt{5}}\)
c)A=\(\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}\)
d)B=\(\sqrt{6+2\sqrt{2}\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-8\sqrt{2}}}}}\)
e)C=\(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
f)D=\(\dfrac{\left(5+2\sqrt{6}\right)\left(49-20\sqrt{6}\right)\left(5-2\sqrt{6}\right)\sqrt{5-2\sqrt{6}}}{9\sqrt{3}-11\sqrt{2}}\)
Mình sửa lại để m.n dễ nhìn hơn!
Rút gọn biểu thức:
a) dfrac{sqrt{9-2sqrt{6}}-sqrt{6}}{sqrt{3}} b)dfrac{5+sqrt{5}}{5-sqrt{5}}+dfrac{5-sqrt{5}}{5+sqrt{5}}
c) sqrt{13+30sqrt{2+sqrt{9+4sqrt{2}}}} d) sqrt{8+2sqrt{10+2sqrt{5}}}+sqrt{8-2sqrt{10+2sqrt{5}}}
e) dfrac{2sqrt{3+sqrt{5-sqrt{13+sqrt{48}}}}}{sqrt{6}-sqrt{2}} f) sqrt{9-sqrt{5sqrt{3}+5sqrt{8+10sqrt{7-4sqrt{3}}}}}
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Rút gọn biểu thức:
a) \(\dfrac{\sqrt{9-2\sqrt{6}}-\sqrt{6}}{\sqrt{3}}\) b)\(\dfrac{5+\sqrt{5}}{5-\sqrt{5}}+\dfrac{5-\sqrt{5}}{5+\sqrt{5}}\)
c) \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\) d) \(\sqrt{8+2\sqrt{10+2\sqrt{5}}}+\sqrt{8-2\sqrt{10+2\sqrt{5}}}\)
e) \(\dfrac{2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}}{\sqrt{6}-\sqrt{2}}\) f) \(\sqrt{9-\sqrt{5\sqrt{3}+5\sqrt{8+10\sqrt{7-4\sqrt{3}}}}}\)
câu a sqrt{46-6sqrt{5}}-sqrt{29-12sqrt{5}} câu b sqrt{13-sqrt{160}}-sqrt{53+4sqrt{90}} câu c left(sqrt{3}+sqrt{5}right)timessqrt{7-2sqrt{10}}...
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câu a \(\sqrt{46-6\sqrt{5}}-\sqrt{29-12\sqrt{5}}\) câu b \(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\) câu c \(\left(\sqrt{3}+\sqrt{5}\right)\times\sqrt{7-2\sqrt{10}}\) câu d \(\left(\sqrt{7}-\sqrt{3}\right)\times\sqrt{10+2\sqrt{21}}\)
rút gọn biểu thức a) left(sqrt{7}-sqrt{2}right).left(sqrt{9+2sqrt{14}}right)b) sqrt{sqrt{13}-sqrt{3-sqrt{13}}-4sqrt{3}}c) sqrt{80-sqrt{321-16sqrt{5}}-sqrt{226-80sqrt{5}-sqrt{89-25sqrt{5}}}}d) dfrac{1}{sqrt{8}+sqrt{7}}+sqrt{175}-dfrac{6sqrt{2}-4}{3-sqrt{2}}e) dfrac{sqrt{6-sqrt{11}}}{sqrt{22}-sqrt{2}}+dfrac{6}{sqrt{2}}-dfrac{3}{sqrt{2}+1}f) dfrac{sqrt{2}}{2sqrt{2}+sqrt{3}+sqrt{5}}+dfrac{sqrt{2}}{2sqrt{2}-sqrt{3}-sqrt{5}}g) dfrac{sqrt{2}+sqrt{3}+sqrt{6}+sqrt{8}+4}{sqrt{2}+sqrt{3}+sqrt{4}}
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rút gọn biểu thức
a) \(\left(\sqrt{7}-\sqrt{2}\right).\left(\sqrt{9+2\sqrt{14}}\right)\)
b) \(\sqrt{\sqrt{13}-\sqrt{3-\sqrt{13}}-4\sqrt{3}}\)
c) \(\sqrt{80-\sqrt{321-16\sqrt{5}}-\sqrt{226-80\sqrt{5}-\sqrt{89-25\sqrt{5}}}}\)
d) \(\dfrac{1}{\sqrt{8}+\sqrt{7}}+\sqrt{175}-\dfrac{6\sqrt{2}-4}{3-\sqrt{2}}\)
e) \(\dfrac{\sqrt{6-\sqrt{11}}}{\sqrt{22}-\sqrt{2}}+\dfrac{6}{\sqrt{2}}-\dfrac{3}{\sqrt{2}+1}\)
f) \(\dfrac{\sqrt{2}}{2\sqrt{2}+\sqrt{3}+\sqrt{5}}+\dfrac{\sqrt{2}}{2\sqrt{2}-\sqrt{3}-\sqrt{5}}\)
g) \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
Tính:Asqrt{27}-2sqrt{48}+3sqrt{75}Bsqrt{left(sqrt{5}-2right)^2}-sqrt{left(sqrt{5}-3right)^2}Csqrt{left(2sqrt{3}+1right)^2}+sqrt{left(2sqrt{3}-5right)^2}Dsqrt{9-4sqrt{5}}-sqrt{14+6sqrt{5}}Edfrac{4}{sqrt{5}-2}-dfrac{32}{sqrt{5}+1}Mdfrac{10}{3sqrt{2}-4}+dfrac{28}{3sqrt{2}+2} please help ;-;
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Tính:
\(A=\sqrt{27}-2\sqrt{48}+3\sqrt{75}\)
\(B=\sqrt{\left(\sqrt{5}-2\right)^2}-\sqrt{\left(\sqrt{5}-3\right)^2}\)
\(C=\sqrt{\left(2\sqrt{3}+1\right)^2}+\sqrt{\left(2\sqrt{3}-5\right)^2}\)
\(D=\sqrt{9-4\sqrt{5}}-\sqrt{14+6\sqrt{5}}\)
\(E=\dfrac{4}{\sqrt{5}-2}-\dfrac{32}{\sqrt{5}+1}\)
\(M=\dfrac{10}{3\sqrt{2}-4}+\dfrac{28}{3\sqrt{2}+2}\)
please help ;-;
Tính
a) left(dfrac{3}{2}sqrt{6}+2sqrt{dfrac{2}{3}}+4sqrt{dfrac{3}{2}}right)timesleft(2sqrt{dfrac{2}{3}}-sqrt{12}-sqrt{6}right)
b) sqrt{6-2sqrt{5}}-sqrt{6+2sqrt{5}}
c) left(sqrt{11+2sqrt{24}}-sqrt{11-2sqrt{24}}right):2sqrt{3}
d) sqrt{3-sqrt{5}}-sqrt{3+sqrt{5}}
e) sqrt{5+6sqrt{2}}-sqrt{9-6sqrt{2}}-sqrt{21-12sqrt{3}}
f) sqrt{6+2sqrt{5-sqrt{13+sqrt{48}}}}
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Tính
a) \(\left(\dfrac{3}{2}\sqrt{6}+2\sqrt{\dfrac{2}{3}}+4\sqrt{\dfrac{3}{2}}\right)\times\left(2\sqrt{\dfrac{2}{3}}-\sqrt{12}-\sqrt{6}\right)\)
b) \(\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}\)
c) \(\left(\sqrt{11+2\sqrt{24}}-\sqrt{11-2\sqrt{24}}\right):2\sqrt{3}\)
d) \(\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)
e) \(\sqrt{5+6\sqrt{2}}-\sqrt{9-6\sqrt{2}}-\sqrt{21-12\sqrt{3}}\)
f) \(\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}\)