Bài 2: Căn thức bậc hai và hằng đẳng thức căn bậc hai của bình phương
Các câu hỏi tương tự
Bài 1: Tính
\(\sqrt{3+2\sqrt{3}}-\sqrt{4-2\sqrt{3}}\\ \sqrt{12+6\sqrt{3}+\sqrt{12-6\sqrt{3}}}\\ \sqrt{9-4\sqrt{2}+\sqrt{9+4\sqrt{2}}}\)
\(\sqrt{\sqrt{2}+2+\sqrt{4+\sqrt{9-\sqrt{32}}}}\\ \sqrt{6+2\sqrt{5}-\sqrt{29+12\sqrt{5}}}\\ \sqrt{8+\sqrt{8}+\sqrt{20}+\sqrt{40}}-\sqrt{\sqrt{49}+\sqrt{40}}\\ \sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}\)
thực hiện phép tính
a)sqrt{6+2sqrt{5}}-sqrt{62sqrt{5}}
b)sqrt{24-8sqrt{5}}+sqrt{9-4sqrt{5}}
c) sqrt{6-4sqrt{2}}+sqrt{22-12sqrt{2}}
d)sqrt{41+12sqrt{5}}-sqrt{46-6sqrt{ }5}
e)sqrt{17-12sqrt{2}}+sqrt{9+4sqrt{2}}
f)sqrt{17-12sqrt{2}}+sqrt{9+4sqrt{2}}
g) sqrt{43+24sqrt{3}}-sqrt{49-8sqrt{3}}
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thực hiện phép tính
a)\(\sqrt{6+2\sqrt{5}}-\sqrt{62\sqrt{5}}\)
b)\(\sqrt{24-8\sqrt{5}}+\sqrt{9-4\sqrt{5}}\)
c) \(\sqrt{6-4\sqrt{2}}+\sqrt{22-12\sqrt{2}}\)
d)\(\sqrt{41+12\sqrt{5}}-\sqrt{46-6\sqrt{ }5}\)
e)\(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
f)\(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
g) \(\sqrt{43+24\sqrt{3}}-\sqrt{49-8\sqrt{3}}\)
bài 1: thực hiện phép tính
a, (sqrt{12}+3sqrt{15}-4sqrt{135}).sqrt{3}
b, Afrac{sqrt{6}+sqrt{14}}{2sqrt{3}+sqrt{28}}
c, frac{9sqrt{5^2+3sqrt{27}}}{sqrt{5}+sqrt{3}}
d, frac{sqrt{2}+sqrt{3}+sqrt{6}+sqrt{8}+4}{sqrt{2}+sqrt{3}+sqrt{4}}
e, (sqrt{12}+sqrt{15}+sqrt{27}):sqrt{15}
f, (12sqrt{50}-8sqrt{200}+7sqrt{450}):sqrt{10}
g, (sqrt{frac{1}{7}}-sqrt{frac{16}{7}}+sqrt{frac{9}{7}}):sqrt{7}
bài 2:rút gọn rồi tính các giá trị biểu thức
a, A sqrt{frac{left(x-6right)^4}{left(5-xright)^2}}+frac{x^...
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bài 1: thực hiện phép tính
a, (\(\sqrt{12}+3\sqrt{15}-4\sqrt{135}\)).\(\sqrt{3}\)
b, A=\(\frac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\)
c, \(\frac{9\sqrt{5^2+3\sqrt{27}}}{\sqrt{5}+\sqrt{3}}\)
d, \(\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
e, (\(\sqrt{12}+\sqrt{15}+\sqrt{27}\)):\(\sqrt{15}\)
f, (12\(\sqrt{50}-8\sqrt{200}+7\sqrt{450}\)):\(\sqrt{10}\)
g, (\(\sqrt{\frac{1}{7}}-\sqrt{\frac{16}{7}}+\sqrt{\frac{9}{7}}\)):\(\sqrt{7}\)
bài 2:rút gọn rồi tính các giá trị biểu thức
a, A= \(\sqrt{\frac{\left(x-6\right)^4}{\left(5-x\right)^2}}\)+\(\frac{x^2-36}{x-5}\) (x<5) tại x=4
b, B=5x-\(\sqrt{125}\)+\(\frac{\sqrt{x^3+5x^2}}{\sqrt{x+5}}\) (x ≥ 0)tại x=\(\sqrt{5}\)
Rút gọn :
dfrac{sqrt{x+sqrt{4left(x-1right)}}-sqrt{x-sqrt{4left(x-1right)}}}{sqrt{x^2-4left(x-1right)}}.left(sqrt{x-1}-dfrac{1}{sqrt{x-1}}right)
b)left(sqrt{2}+1right)left(sqrt{3}+1right)left(sqrt{6}+1right)left(5-2sqrt{2}-sqrt{3}right)
c)left(sqrt{5}+1right)left(sqrt{7}+1right)left(sqrt{35}+1right)left(34-4sqrt{7}-6sqrt{5}right)
d) left(sqrt{7}+1right)left(2sqrt{2}-1right)left(2sqrt{14}-1right)left(55+12sqrt{2}-7sqrt{7}right)
e)left(3sqrt{2}+1right)left(2sqrt{3}+1right)left(6sqrt{6}+1...
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Rút gọn :
\(\dfrac{\sqrt{x+\sqrt{4\left(x-1\right)}}-\sqrt{x-\sqrt{4\left(x-1\right)}}}{\sqrt{x^2-4\left(x-1\right)}}.\left(\sqrt{x-1}-\dfrac{1}{\sqrt{x-1}}\right)\)
b)\(\left(\sqrt{2}+1\right)\left(\sqrt{3}+1\right)\left(\sqrt{6}+1\right)\left(5-2\sqrt{2}-\sqrt{3}\right)\)
c)\(\left(\sqrt{5}+1\right)\left(\sqrt{7}+1\right)\left(\sqrt{35}+1\right)\left(34-4\sqrt{7}-6\sqrt{5}\right)\)
d) \(\left(\sqrt{7}+1\right)\left(2\sqrt{2}-1\right)\left(2\sqrt{14}-1\right)\left(55+12\sqrt{2}-7\sqrt{7}\right)\)
e)\(\left(3\sqrt{2}+1\right)\left(2\sqrt{3}+1\right)\left(6\sqrt{6}+1\right)\left(215-34\sqrt{3}-33\sqrt{2}\right)\)
Rút gọn biểu thức
a) sqrt{11-2sqrt{10}}
b) sqrt{9-2sqrt{14}}
c) sqrt{4+2sqrt{3}}+sqrt{4-2sqrt{3}}
d) sqrt{9-4sqrt{5}}-sqrt{9+4sqrt{5}}
e) sqrt{4-sqrt{7}}-sqrt{4+sqrt{7}}
g) sqrt{3}+sqrt{11+6sqrt{2}}+sqrt{5+2sqrt{6}}
h) sqrt{5sqrt{3}+5sqrt{48-10sqrt{7+4sqrt{3}}}}
k) sqrt{94-42sqrt{5}}-sqrt{94+42sqrt{5}}
i) sqrt{4+sqrt{10+2sqrt{5}}}+sqrt{4-sqrt{10+2sqrt{5}}}
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Rút gọn biểu thức
a) \(\sqrt{11-2\sqrt{10}}\)
b) \(\sqrt{9-2\sqrt{14}}\)
c) \(\sqrt{4+2\sqrt{3}}+\sqrt{4-2\sqrt{3}}\)
d) \(\sqrt{9-4\sqrt{5}}-\sqrt{9+4\sqrt{5}}\)
e) \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}\)
g) \(\sqrt{3}+\sqrt{11+6\sqrt{2}}+\sqrt{5+2\sqrt{6}}\)
h) \(\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}\)
k) \(\sqrt{94-42\sqrt{5}}-\sqrt{94+42\sqrt{5}}\)
i) \(\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
Câu1: Rút gọn
a,x+sqrt{left(x+2right)^2}cdotleft(x-2right)
b,sqrt{m^2-6m+9-2m}left(x3right)
c,1+sqrt{frac{left(x-1right)^2}{x-1}}
d,sqrt{x+4sqrt{x-4}}+sqrt{x-4sqrt{x-4}}
Câu 2: So sánh
a,3vàsqrt{5}
b,2sqrt{2}và3sqrt{2}
c,-4sqrt{5}và-6sqrt{6}
d,2sqrt{3}-5vàsqrt{3}-4
e,Asqrt{2006}-sqrt{2005}và
Bsqrt{2005}-sqrt{2004}
Câu 3: Rút gọn
a,sqrt{16-2sqrt{55}} b,sqrt{14-6sqrt{5}}
c,sqrt{36+12sqrt{5}}
d,sqrt{29+12sqrt{5}}
Câu4: Tìm đkxđ
a,sqrt{x^2-9}
b,sqrt...
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Câu1: Rút gọn
\(a,x+\sqrt{\left(x+2\right)^2}\cdot\left(x-2\right)\\ b,\sqrt{m^2-6m+9-2m}\left(x>3\right)\\ c,1+\sqrt{\frac{\left(x-1\right)^2}{x-1}}\\ d,\sqrt{x+4\sqrt{x-4}}+\sqrt{x-4\sqrt{x-4}}\)
Câu 2: So sánh
\(a,3và\sqrt{5}\\ \\ \\ b,2\sqrt{2}và3\sqrt{2}\\ \\ \\ c,-4\sqrt{5}và-6\sqrt{6}\\ \\ \\ d,2\sqrt{3}-5và\sqrt{3}-4\\ \\ \\e,A=\sqrt{2006}-\sqrt{2005}và\\ B=\sqrt{2005}-\sqrt{2004}\)
Câu 3: Rút gọn
\(a,\sqrt{16-2\sqrt{55}}\\ \\ \\ \\ \\ \\ \\ \\ \\ b,\sqrt{14-6\sqrt{5}}\\ \\ \\ \\ \\ \\ \\ \\ \\ c,\sqrt{36+12\sqrt{5}}\\ \\ \\ \\ \\ \\ \\ \\ \\ d,\sqrt{29+12\sqrt{5}}\)
Câu4: Tìm đkxđ
\(a,\sqrt{x^2-9}\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ b,\sqrt{x^2-3x+2}\)
\(c,\frac{\sqrt{x+3}}{\sqrt{5-x}}\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ d,\sqrt{\frac{x+3}{5-x}}\)
Bài 1 :
a, dfrac{1}{2}sqrt{12}+sqrt{27}-sqrt{75}
b, sqrt{7-4sqrt{3}}-sqrt{4+2sqrt{3}}
c, 6sqrt{27}-2sqrt{75}-dfrac{1}{2}sqrt{300}
d, dfrac{7}{sqrt{10}-sqrt{3}}-dfrac{5sqrt{2}-2sqrt{5}}{sqrt{5}-sqrt{2}}-dfrac{6}{sqrt{3}}
e, sqrt{dfrac{sqrt{5}}{8sqrt{5}+3sqrt{35}}}.(3sqrt{2}+sqrt{14)}
f, sqrt{11-4sqrt{ }7}+dfrac{2sqrt{7}-2}{sqrt{7}-1}
g, (sqrt{125}-3sqrt{3})dfrac{sqrt{5}-sqrt{3}}{8+sqrt{15}}
h, sqrt{100}-sqrt{64}
i, sqrt{(1-sqrt{3})^2}-sqrt{3}
Bạn nào biết làm bài này thì giúp mình với...
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Bài 1 :
a, \(\dfrac{1}{2}\sqrt{12}+\sqrt{27}-\sqrt{75}\)
b, \(\sqrt{7-4\sqrt{3}}-\sqrt{4+2\sqrt{3}}\)
c, 6\(\sqrt{27}-2\sqrt{75}-\dfrac{1}{2}\sqrt{300}\)
d, \(\dfrac{7}{\sqrt{10}-\sqrt{3}}-\dfrac{5\sqrt{2}-2\sqrt{5}}{\sqrt{5}-\sqrt{2}}-\dfrac{6}{\sqrt{3}}\)
e, \(\sqrt{\dfrac{\sqrt{5}}{8\sqrt{5}+3\sqrt{35}}}.(3\sqrt{2}+\sqrt{14)}\)
f, \(\sqrt{11-4\sqrt{ }7}+\dfrac{2\sqrt{7}-2}{\sqrt{7}-1}\)
g, \((\sqrt{125}-3\sqrt{3})\dfrac{\sqrt{5}-\sqrt{3}}{8+\sqrt{15}}\)
h, \(\sqrt{100}-\sqrt{64}\)
i, \(\sqrt{(1-\sqrt{3})^2}-\sqrt{3}\)
Bạn nào biết làm bài này thì giúp mình với ạ ! sáng mai mình cần gấp !
câu 1 : thực hiện phép tính
a) sqrt{50}-sqrt{54}+frac{1}{2}sqrt{72}+frac{5}{6}sqrt{216}
b) frac{1}{2}sqrt{48}-sqrt{32}-sqrt{75}-frac{1}{5}sqrt{50}
c)frac{sqrt{2}-1}{2-sqrt{2}}
d)4sqrt{frac{3}{2}}-frac{5}{2}sqrt{24}+frac{1}{2}sqrt{32}
e)24sqrt{frac{2}{3}}+6sqrt{frac{3}{2}}-3sqrt{24}
f)2sqrt{12}+3sqrt{27}-sqrt{48}
g)left(2sqrt{5}+5sqrt{2}right).sqrt{5}-sqrt{250}
h)frac{3+sqrt{3}}{3-sqrt{3}}+frac{3-sqrt{3}}{3+sqrt{3}}
k)left(sqrt{28}-sqrt{12}+sqrt{7}right).sqrt{7}+2.sqrt{21}
l)frac{2.sqr...
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câu 1 : thực hiện phép tính
a) \(\sqrt{50}-\sqrt{54}+\frac{1}{2}\sqrt{72}+\frac{5}{6}\sqrt{216}\)
b) \(\frac{1}{2}\sqrt{48}-\sqrt{32}-\sqrt{75}-\frac{1}{5}\sqrt{50}\)
c)\(\frac{\sqrt{2}-1}{2-\sqrt{2}}\)
d)\(4\sqrt{\frac{3}{2}}-\frac{5}{2}\sqrt{24}+\frac{1}{2}\sqrt{32}\)
e)\(24\sqrt{\frac{2}{3}}+6\sqrt{\frac{3}{2}}-3\sqrt{24}\)
f)\(2\sqrt{12}+3\sqrt{27}-\sqrt{48}\)
g)\(\left(2\sqrt{5}+5\sqrt{2}\right).\sqrt{5}-\sqrt{250}\)
h)\(\frac{3+\sqrt{3}}{3-\sqrt{3}}+\frac{3-\sqrt{3}}{3+\sqrt{3}}\)
k)\(\left(\sqrt{28}-\sqrt{12}+\sqrt{7}\right).\sqrt{7}+2.\sqrt{21}\)
l)\(\frac{2.\sqrt{3}-\sqrt{6}}{\sqrt{8}-2}\)
Ai đó giúp mình với ạ!
Tínha.sqrt{8+2sqrt{5}} b.sqrt{10-2sqrt[]{5}} c.sqrt{5+sqrt{24}} d.sqrt{12-sqrt{140}} e.sqrt{14+2sqrt{5}} f. sqrt{8-sqrt{28}} g.sqrt{23-4sqrt{15}} h.sqrt{9+4sqrt{2}} giúp mik vs mai mik nộp rồi,cảm ơn mn nhiều
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Tính
a.\(\sqrt{8+2\sqrt{5}}\) b.\(\sqrt{10-2\sqrt[]{5}}\) c.\(\sqrt{5+\sqrt{24}}\) d.\(\sqrt{12-\sqrt{140}}\)
e.\(\sqrt{14+2\sqrt{5}}\) f. \(\sqrt{8-\sqrt{28}}\) g.\(\sqrt{23-4\sqrt{15}}\) h.\(\sqrt{9+4\sqrt{2}}\)
giúp mik vs mai mik nộp rồi,cảm ơn mn nhiều