Đặt:
\(\left\{{}\begin{matrix}a=\sqrt[3]{5+2\sqrt{13}}\\b=\sqrt[3]{45-29\sqrt{2}}\end{matrix}\right.\)
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Ôn tập chương 1: Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
1) Rút gọn:
a) A sqrt{5-2sqrt{3-sqrt{3}}}-sqrt{3+sqrt{3}}+sqrt{2+sqrt{3}}
b) B sqrt{13+sqrt{2}+5sqrt{1+2sqrt{2}}}+sqrt{13+sqrt{2}+5sqrt{1+2sqrt{2}}}
c) C dfrac{sqrt{21+3sqrt{5}}+sqrt{21-3sqrt{5}}}{sqrt{21}+6sqrt{11}}+sqrt{11-6sqrt{2}}
d) D left(sqrt{8+2sqrt{10+2sqrt{5}}}+sqrt{8-2sqrt{10+2sqrt{5}}}right).sqrt{dfrac{2+2sqrt{5}}{2+sqrt{5}}}
e) E dfrac{left(27+10sqrt{2}right)sqrt{27-10sqrt{2}}-left(27-10sqrt{2}right)sqrt{27+10sqrt{2}}}{left(sqrt{sqrt{13}-3}+sqrt{sqrt{13}+3}right):sqrt{sqrt...
Đọc tiếp
1) Rút gọn:
a) A = \(\sqrt{5-2\sqrt{3-\sqrt{3}}}-\sqrt{3+\sqrt{3}}+\sqrt{2+\sqrt{3}}\)
b) B = \(\sqrt{13+\sqrt{2}+5\sqrt{1+2\sqrt{2}}}+\sqrt{13+\sqrt{2}+5\sqrt{1+2\sqrt{2}}}\)
c) C = \(\dfrac{\sqrt{21+3\sqrt{5}}+\sqrt{21-3\sqrt{5}}}{\sqrt{21}+6\sqrt{11}}+\sqrt{11-6\sqrt{2}}\)
d) D = \(\left(\sqrt{8+2\sqrt{10+2\sqrt{5}}}+\sqrt{8-2\sqrt{10+2\sqrt{5}}}\right).\sqrt{\dfrac{2+2\sqrt{5}}{2+\sqrt{5}}}\)
e) E = \(\dfrac{\left(27+10\sqrt{2}\right)\sqrt{27-10\sqrt{2}}-\left(27-10\sqrt{2}\right)\sqrt{27+10\sqrt{2}}}{\left(\sqrt{\sqrt{13}-3}+\sqrt{\sqrt{13}+3}\right):\sqrt{\sqrt{13}+2}}\)
Tính giá trị biểu thức
a,\(2\sqrt{45}+\sqrt{5}-3\sqrt{80}\)
b,\(\sqrt{\left(2-\sqrt{3}\right)^2}+\dfrac{2}{\sqrt{3}+1}-6\sqrt{\dfrac{16}{3}}\)
c,\(\tan^2\)\(40^o\)*\(sin^250^o-3+\left(1-sin40^o\right)\left(1+sin40^o\right)\)
tính \(\sqrt{A}\)
a)A= 13 - 2\(\sqrt{42}\)
b)A= 46 + 6\(\sqrt{5}\)
c)A= 12 - 3\(\sqrt{15}\)
cứu tui
1.Tính: a, sqrt{left(5-sqrt{3}right)^2}-sqrt{left(sqrt{3}-2right)^2}
b, Bleft(2-sqrt{3}right).sqrt{26+15sqrt{3}}-left(2+sqrt{3}right).sqrt{26-15sqrt{3}}
c, sqrt{sqrt{5}-sqrt{3-sqrt{29-12sqrt{5}}}}
d, Aleft(sqrt{10}-sqrt{2}right)sqrt{3+sqrt{5}}
2.Giải pt:
a,sqrt{x^2-3x-2}x-2
b,5sqrt{x-1}-sqrt{36x-36}+sqrt{9x-9}sqrt{8x+12}
c,sqrt{x}+sqrt{1-x}+sqrt{xleft(1-xright)}1
Đọc tiếp
1.Tính: a, \(\sqrt{\left(5-\sqrt{3}\right)^2}-\sqrt{\left(\sqrt{3}-2\right)^2}\)
b, B=\(\left(2-\sqrt{3}\right).\sqrt{26+15\sqrt{3}}-\left(2+\sqrt{3}\right).\sqrt{26-15\sqrt{3}}\)
c, \(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
d, A=\(\left(\sqrt{10}-\sqrt{2}\right)\sqrt{3+\sqrt{5}}\)
2.Giải pt:
a,\(\sqrt{x^2-3x-2}=x-2\)
b,\(5\sqrt{x-1}-\sqrt{36x-36}+\sqrt{9x-9}=\sqrt{8x+12}\)
c,\(\sqrt{x}+\sqrt{1-x}+\sqrt{x\left(1-x\right)}=1\)
Thực hiến phép tính :a, dfrac{1}{3+sqrt{2}}+dfrac{1}{3-sqrt{2}}b, dfrac{2}{3sqrt{2}-4}-dfrac{2}{3sqrt{2}+4}c, dfrac{sqrt{5}-sqrt{3}}{sqrt{5}+sqrt{3}}+dfrac{sqrt{5}+sqrt{3}}{sqrt{5}-sqrt{3}}d, dfrac{3}{2sqrt{2}-3sqrt{3}}-dfrac{3}{2sqrt{2}+3sqrt{3}}e, sqrt{11+6sqrt{2}}-sqrt{11-6sqrt{2}}g, sqrt{sqrt{5}-sqrt{3-sqrt{29-6sqrt{20}}}}
Đọc tiếp
Thực hiến phép tính :
a, \(\dfrac{1}{3+\sqrt{2}}+\dfrac{1}{3-\sqrt{2}}\)
b, \(\dfrac{2}{3\sqrt{2}-4}-\dfrac{2}{3\sqrt{2}+4}\)
c, \(\dfrac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}+\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}\)
d, \(\dfrac{3}{2\sqrt{2}-3\sqrt{3}}-\dfrac{3}{2\sqrt{2}+3\sqrt{3}}\)
e, \(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
g, \(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-6\sqrt{20}}}}\)
giải phương trình
a, \(\sqrt{4x-20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)
b, \(2x-x^2+\sqrt{6x^2-12x+7}=0\)
c, \(\dfrac{9x-7}{\sqrt{7x+5}}=\sqrt{7x+5}\)
a,\(\sqrt{x^2-6x+9}=3\) b,\(\sqrt{4x+20}+\sqrt{x+5}-\dfrac{1}{3}\sqrt{9x+45}=4\)
1,Rút gọn B=\(\dfrac{3\sqrt{8}-2\sqrt{12}+\sqrt{20}}{3\sqrt{18}-2\sqrt{27}+\sqrt{40}}\)
2,Tính
a, A=\(\dfrac{2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}}{\sqrt{6}+\sqrt{2}}\)
Tính A\(=\sqrt[3]{5-2\sqrt{13}}+\sqrt[3]{5+2\sqrt{13}}\)