Bài 3: Liên hệ giữa phép nhân và phép khai phương
Các câu hỏi tương tự
Rút gọn các biểu thức sau :a,dfrac{sqrt{6}+sqrt{10}}{sqrt{21}+sqrt{35}}b,dfrac{sqrt{405}+3sqrt{27}}{3sqrt{3}+sqrt{45}}c,dfrac{sqrt{2}+sqrt{3}+sqrt{4}-sqrt{6}-sqrt{9}-sqrt{12}}{sqrt{2}+sqrt{3}+sqrt{4}}d, Ddfrac{2}{x^2-y^2}cdotsqrt{dfrac{9left(x^2+2xy+y^2right)}{4}} left(vớixne y,xne-yright)
Đọc tiếp
Rút gọn các biểu thức sau :
a,\(\dfrac{\sqrt{6}+\sqrt{10}}{\sqrt{21}+\sqrt{35}}\)
b,\(\dfrac{\sqrt{405}+3\sqrt{27}}{3\sqrt{3}+\sqrt{45}}\)
c,\(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{4}-\sqrt{6}-\sqrt{9}-\sqrt{12}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
d, D=\(\dfrac{2}{x^2-y^2}\cdot\sqrt{\dfrac{9\left(x^2+2xy+y^2\right)}{4}}\) \(\left(vớix\ne y,x\ne-y\right)\)
B1: rút gọn:a, sqrt{4-2sqrt{3}}-sqrt{3}b, sqrt{11+6sqrt[]{2}}-3+sqrt{2} c, x-4+sqrt{16-8x+x^2} với x 4d, dfrac{x^2-5}{x+sqrt{5}} x khác -sqrt{5}e, dfrac{x^2+2sqrt{2}x+2}{x+sqrt{2}} x khác -sqrt{2}g, dfrac{sqrt{6}+sqrt{14}}{2sqrt{3}+sqrt{28}}giúp em với ạ , em cảm ơn
Đọc tiếp
B1: rút gọn:
a, \(\sqrt{4-2\sqrt{3}}-\sqrt{3}\)
b, \(\sqrt{11+6\sqrt[]{2}}-3+\sqrt{2}\)
c, \(x-4+\sqrt{16-8x+x^2}\) với x > 4
d, \(\dfrac{x^2-5}{x+\sqrt{5}}\) x khác \(-\sqrt{5}\)
e, \(\dfrac{x^2+2\sqrt{2}x+2}{x+\sqrt{2}}\) x khác \(-\sqrt{2}\)
g, \(\dfrac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\)
giúp em với ạ , em cảm ơn 
Rút gọn :
a) \(\dfrac{3\sqrt{2-6}}{\sqrt{2-1}}\)
b) \(\dfrac{3\sqrt{5}+5\sqrt{3}}{\sqrt{3}+\sqrt{5}}\)
c) \(\dfrac{x-y}{\sqrt{x}-\sqrt{y}}\)
1. Tính
a. \(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
b.\(\sqrt{3-\sqrt{5}}\left(\sqrt{10}-\sqrt{2}\right)\left(3+\sqrt{5}\right)\)
c.\(\dfrac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}-\sqrt{3-2\sqrt{2}}\)
bài 1: rút gọn các biểu thức.
a) dfrac{xsqrt{x}+ysqrt{y}}{sqrt{x}+sqrt{y}}-(sqrt{x}-sqrt{y})^2
b) sqrt{dfrac{x-2sqrt{x}+1}{x+2sqrt{x}+1}}(xge0)
c) dfrac{x-1}{sqrt{y}-1}sqrt{dfrac{(y-2sqrt{y}+1)^2}{(x-1)^4}}(xne1,yne1,y0)
bài 2:rút gọn và tính.
a) sqrt{dfrac{sqrt{a}-1}{sqrt{b}+1}:}sqrt{dfrac{sqrt{b}-1}{sqrt{a}+1}với}a7,25;b3,25
b) sqrt{15a^2-8asqrt{15}+16}vớiasqrt{dfrac{3}{5}}+sqrt{dfrac{5}{3}}
c) sqrt{10a^2-4asqrt{10}+4}vớiasqrt{dfrac{2}{5}}+sqrt{dfrac{5}{2}}
d) sqrt{a^2+2sqrt{a^2-1}}-sq...
Đọc tiếp
bài 1: rút gọn các biểu thức.
a) \(\dfrac{x\sqrt{x}+y\sqrt{y}}{\sqrt{x}+\sqrt{y}}-(\sqrt{x}-\sqrt{y})^2\)
b) \(\sqrt{\dfrac{x-2\sqrt{x}+1}{x+2\sqrt{x}+1}}(x\ge0)\)
c) \(\dfrac{x-1}{\sqrt{y}-1}\sqrt{\dfrac{(y-2\sqrt{y}+1)^2}{(x-1)^4}}(x\ne1,y\ne1,y>0)\)
bài 2:rút gọn và tính.
a) \(\sqrt{\dfrac{\sqrt{a}-1}{\sqrt{b}+1}:}\sqrt{\dfrac{\sqrt{b}-1}{\sqrt{a}+1}với}a=7,25;b=3,25\)
b) \(\sqrt{15a^2-8a\sqrt{15}+16}vớia=\sqrt{\dfrac{3}{5}}+\sqrt{\dfrac{5}{3}}\)
c) \(\sqrt{10a^2-4a\sqrt{10}+4}vớia=\sqrt{\dfrac{2}{5}}+\sqrt{\dfrac{5}{2}}\)
d) \(\sqrt{a^2+2\sqrt{a^2-1}}-\sqrt{a^2-2\sqrt{a^2-1}}(a=\sqrt{5})\)
bài 3: rút gọn các biểu thức.
a) \(\sqrt{9(x-5)^2}(x\ge5)\)
b) \(\sqrt{x^2.(x-2)^2}(x< 0)\)
c)\(\dfrac{\sqrt{108x^3}}{\sqrt{12x}}(x>0)\)
d)\(\dfrac{\sqrt{13x^4y^6}}{\sqrt{208x^6y^6}}(x< 0:y\ne0)\)
ai giúp mik vs ạ, cảm ơn !
Rút gọn:
a)\(\dfrac{\sqrt{6}+\sqrt{10}}{\sqrt{21}+\sqrt{35}}\)
b)\(\dfrac{\sqrt{405}+3\sqrt{27}}{3\sqrt{3}+\sqrt{45}}\)
c)\(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{4}-\sqrt{6}-\sqrt{9}-\sqrt{12}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
d)\(\dfrac{\sqrt{6-2\sqrt{5}}}{\sqrt{5}-1}\)
A)sqrt{2-sqrt{3}}.left(sqrt{6}+sqrt{2}right)
B)left(sqrt{2}+1^{ }right)^3-left(sqrt{2}-1right)^3 C)dfrac{2sqrt{8}-sqrt{12}}{sqrt{18}-sqrt{48}}-dfrac{sqrt{5}+sqrt{27}}{sqrt{30}+sqrt{162}} D)sqrt{dfrac{2-sqrt{3}}{2+sqrt{3}}}+sqrt{dfrac{2+sqrt{3}}{2-sqrt{3}}} E)dfrac{sqrt{3-sqrt{5}}.left(3+sqrt{5}right)}{sqrt{10}+sqrt{2}} F)dfrac{1}{sqrt{2}+sqrt{2+sqrt{3}}}+dfrac{1}{sqrt{2}-sqrt{2-sqrt{3}}}
Đọc tiếp
A)\(\sqrt{2-\sqrt{3}}.\left(\sqrt{6}+\sqrt{2}\right)\)
B)\(\left(\sqrt{2}+1^{ }\right)^3-\left(\sqrt{2}-1\right)^3\) C)\(\dfrac{2\sqrt{8}-\sqrt{12}}{\sqrt{18}-\sqrt{48}}-\dfrac{\sqrt{5}+\sqrt{27}}{\sqrt{30}+\sqrt{162}}\) D)\(\sqrt{\dfrac{2-\sqrt{3}}{2+\sqrt{3}}}+\sqrt{\dfrac{2+\sqrt{3}}{2-\sqrt{3}}}\) E)\(\dfrac{\sqrt{3-\sqrt{5}}.\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\) F)\(\dfrac{1}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\dfrac{1}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
bài 1: tính
a) sqrt{1,2cdot27} b) sqrt{55cdot77cdot35}
c) (sqrt{3}-sqrt{2} )^2 d) (3sqrt{2}-1)*(3sqrt{2}+1)
e) (sqrt{6}+7) (sqrt{3}-sqrt{2}) i) sqrt{dfrac{1}{8}}cdotsqrt{2}cdotsqrt{125}cdotsqrt{dfrac{1}{5}}
h) sqrt{sqrt{2}-1}cdotsqrt{sqrt{2}}+1
bài 2: tính
a) sqrt{9}-sqrt{17}cdotsqrt{9}+sqrt{17}
b) 2sqrt{2}left(sqrt{3}-2right)+left(1+2sqrt{2}right)^2-2sqrt{6}
c) dfrac{sqrt{6}+sqrt{14}}{2sqrt{3}+sqrt{28}} d) dfrac{sqrt{10}+sqrt{15}}{sqrt{8}+sqrt{...
Đọc tiếp
bài 1: tính
a) \(\sqrt{1,2\cdot27}\) b) \(\sqrt{55\cdot77\cdot35}\)
c) (\(\sqrt{3}-\sqrt{2}\) )\(^2\) d) (3\(\sqrt{2}-1\))*(3\(\sqrt{2}+1\))
e) (\(\sqrt{6}+7\)) (\(\sqrt{3}-\sqrt{2}\)) i) \(\sqrt{\dfrac{1}{8}}\cdot\sqrt{2}\cdot\sqrt{125}\cdot\sqrt{\dfrac{1}{5}}\)
h) \(\sqrt{\sqrt{2}-1}\cdot\sqrt{\sqrt{2}}+1\)
bài 2: tính
a) \(\sqrt{9}-\sqrt{17}\cdot\sqrt{9}+\sqrt{17}\)
b) 2\(\sqrt{2}\left(\sqrt{3}-2\right)+\left(1+2\sqrt{2}\right)^2-2\sqrt{6}\)
c) \(\dfrac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\) d) \(\dfrac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}\)
e) \(\dfrac{\sqrt{15}-\sqrt{6}}{\sqrt{35}-\sqrt{14}}\) f) \(\dfrac{x+\sqrt{xy}}{9+\sqrt{xy}}\) (xy>0)
Rút gọn :
a) \(\dfrac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\)
b) \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+\sqrt{16}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)