\(=4\sqrt{2}-5\sqrt{2}+\sqrt{2}-1=-1\)
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Bài 2: Căn thức bậc hai và hằng đẳng thức căn bậc hai của bình phương
Các câu hỏi tương tự
\(a,2\sqrt{20}-\sqrt{50}+3\sqrt{80}-\sqrt{320}\)
\(b,\sqrt{32}-\sqrt{50}+\sqrt{18}\)
\(c,3\sqrt{3}+4\sqrt{2}-5\sqrt{27}\)
\(d,\dfrac{\sqrt{3}}{\sqrt{\sqrt{3}+1}-1}-\dfrac{\sqrt{3}}{\sqrt{\sqrt{3}+1}+1}\)
e,\(\left(2+\dfrac{3+\sqrt{3}}{\sqrt{3}+1}\right)\left(2-\dfrac{3-\sqrt{3}}{\sqrt{3}-1}\right)\)
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!
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:
\(\)\(a,\sqrt{40}-2\sqrt{250}+3\sqrt{90}\)
\(b,\frac{-1}{4+3\sqrt{2}}+\frac{1}{4-3\sqrt{2}}\)
\(c,\left(3\sqrt{2}+\sqrt{10}\right).\sqrt{7-\sqrt{45}}\)
\(d,\sqrt{18}-\sqrt{32}+\sqrt{50}\)
e,\(\sqrt{19+8\sqrt{3}}+\sqrt{7-4\sqrt{3}}\)
bài 1 tính
a, sqrt{left(1-sqrt{5}right)^2}+1
b, sqrt{3+2cdotsqrt{2}}-2
c, sqrt{b^2-b+dfrac{1}{4}}-left(2b-dfrac{1}{2}right)left(vsbgedfrac{1}{2}right)
d, sqrt{7+2cdotsqrt{10}}
e. sqrt{11-4cdotsqrt{7}}
f, sqrt{x-2cdotsqrt{x-1}}
g, 3x+sqrt{x^2-2x+1}
h, sqrt{y+2sqrt{y^2-2y+1}} (voi y1)
i, sqrt{17-2sqrt{32}}+sqrt{17+2sqrt{32}}
k, sqrt{5+2sqrt{6}}-sqrt{5-2sqrt{6}}
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bài 1 tính
a, \(\sqrt{\left(1-\sqrt{5}\right)^2}+1\)
b, \(\sqrt{3+2\cdot\sqrt{2}}-2\)
c, \(\sqrt{b^2-b+\dfrac{1}{4}}-\left(2b-\dfrac{1}{2}\right)\left(vsb\ge\dfrac{1}{2}\right)\)
d, \(\sqrt{7+2\cdot\sqrt{10}}\)
e. \(\sqrt{11-4\cdot\sqrt{7}}\)
f, \(\sqrt{x-2\cdot\sqrt{x-1}}\)
g, \(3x+\sqrt{x^2-2x+1}\)
h, \(\sqrt{y+2\sqrt{y^2-2y+1}}\) (voi y>1)
i, \(\sqrt{17-2\sqrt{32}}+\sqrt{17+2\sqrt{32}}\)
k, \(\sqrt{5+2\sqrt{6}}-\sqrt{5-2\sqrt{6}}\)
Tính:
1.sqrt{left(sqrt{3}+sqrt{2}right)^2} 4.sqrt{left(sqrt{3}right)^2+2.left(sqrt{3}right).left(1right)+left(1right)^2}
2.sqrt{left(sqrt{5}-sqrt{6}right)^2} 5.sqrt{left(sqrt{5}right)^2+2.left(sqrt{5}right).left(sqrt{3}right)+left(sqrt{3}right)^2}
3.sqrt{left(2sqrt{2}+sqrt{3}right)^2}...
Đọc tiếp
Tính:
1.\(\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}\) 4.\(\sqrt{\left(\sqrt{3}\right)^2+2.\left(\sqrt{3}\right).\left(1\right)+\left(1\right)^2}\)
2.\(\sqrt{\left(\sqrt{5}-\sqrt{6}\right)^2}\) 5.\(\sqrt{\left(\sqrt{5}\right)^2+2.\left(\sqrt{5}\right).\left(\sqrt{3}\right)+\left(\sqrt{3}\right)^2}\)
3.\(\sqrt{\left(2\sqrt{2}+\sqrt{3}\right)^2}\) 6.\(\sqrt{\left(\sqrt{6}\right)^2-2.\left(\sqrt{6}\right).\left(\sqrt{5}\right)+\left(\sqrt{5}\right)^2}\)
Tính GT của biểu thức
D = \(\left(6\sqrt{\dfrac{8}{9}}-5\sqrt{\dfrac{32}{45}}+3\sqrt{\dfrac{18}{49}}\right).\sqrt{\dfrac{1}{2}}\)
Tính:a) left(sqrt{1dfrac{9}{16}}-sqrt{dfrac{9}{16}}right):5b) left(sqrt{3}-2right)^2left(sqrt{3}+2right)^2c) left(11-4sqrt{3}right)left(11+4sqrt{3}right)d) left(sqrt{2}-1right)^2-dfrac{3}{2}sqrt{left(-2right)^2}+dfrac{4sqrt{2}}{5}+sqrt{1dfrac{11}{25}}.sqrt{2}e) left(1+sqrt{2021}right)sqrt{2022-2sqrt{2021}}
Đọc tiếp
Tính:
a) \(\left(\sqrt{1\dfrac{9}{16}}-\sqrt{\dfrac{9}{16}}\right):5\)
b) \(\left(\sqrt{3}-2\right)^2\left(\sqrt{3}+2\right)^2\)
c) \(\left(11-4\sqrt{3}\right)\left(11+4\sqrt{3}\right)\)
d) \(\left(\sqrt{2}-1\right)^2-\dfrac{3}{2}\sqrt{\left(-2\right)^2}+\dfrac{4\sqrt{2}}{5}+\sqrt{1\dfrac{11}{25}}.\sqrt{2}\)
e) \(\left(1+\sqrt{2021}\right)\sqrt{2022-2\sqrt{2021}}\)
Rút gọn :
a) left(sqrt{6}+sqrt{2}right).left(sqrt{3}-2right)left(sqrt{2+sqrt{3}}right)
b) sqrt{2}.left(sqrt{2-sqrt{3}}right).left(sqrt{3}+1right)
c) left(sqrt{10}-sqrt{6}right).left(sqrt{4-sqrt{15}}right)
d)left(sqrt{3}-sqrt{12}right).left(sqrt{5+2sqrt{6}}right)
e) sqrt{2-sqrt{3}}.left(sqrt{6}-sqrt{2}right).left(2+sqrt{3}right)
f) sqrt{4+sqrt{5sqrt{3}+5sqrt{48-10sqrt{7+4sqrt{3}}}}}
Đọc tiếp
Rút gọn :
a) \(\left(\sqrt{6}+\sqrt{2}\right).\left(\sqrt{3}-2\right)\left(\sqrt{2+\sqrt{3}}\right)\)
b) \(\sqrt{2}.\left(\sqrt{2-\sqrt{3}}\right).\left(\sqrt{3}+1\right)\)
c) \(\left(\sqrt{10}-\sqrt{6}\right).\left(\sqrt{4-\sqrt{15}}\right)\)
d)\(\left(\sqrt{3}-\sqrt{12}\right).\left(\sqrt{5+2\sqrt{6}}\right)\)
e) \(\sqrt{2-\sqrt{3}}.\left(\sqrt{6}-\sqrt{2}\right).\left(2+\sqrt{3}\right)\)
f) \(\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}\)