Bài 1: Căn bậc hai
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H24
16 tháng 6 2021 lúc 16:12
\(A=\left(\dfrac{1}{1-\sqrt{x}}-\dfrac{1}{\sqrt{x}}\right):\left(\dfrac{2x+\sqrt{x}-1}{1-x}+\dfrac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}\right)\)
a) Rút gọn biểu thức
b) Tính GTBT A khi x = 17 - 12√2
Rút gọn các biểu thức saua,Aleft(dfrac{1}{x-sqrt{x}}+dfrac{1}{sqrt{x}-1}right):dfrac{sqrt{x}+1}{x-2sqrt{x}+1}b,Bdfrac{2sqrt{x}-1}{sqrt{x}+1}+dfrac{3sqrt{x}-1}{x-sqrt{x}+1}-dfrac{2xsqrt{x}-2x+2sqrt{x}-3}{xsqrt{x}+1}c,Cleft(1-dfrac{x+3sqrt{x}}{x-9}right):left(dfrac{sqrt{x}-3}{2-sqrt{x}}+dfrac{sqrt{x}-2}{3+sqrt{x}}-dfrac{9-x}{x+sqrt{x}-6}right)d,Dleft(dfrac{sqrt{x}}{3+sqrt{x}}+dfrac{x+9}{9-x}right):left(dfrac{3sqrt{x}+1}{x-3sqrt{x}}-dfrac{1}{sqrt{x}}right)e,Edfrac{15sqrt{x}-11}{x+2sqrt{x}-3}+dfrac{...
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Rút gọn các biểu thức sau
a,\(A=\left(\dfrac{1}{x-\sqrt{x}}+\dfrac{1}{\sqrt{x}-1}\right):\dfrac{\sqrt{x}+1}{x-2\sqrt{x}+1}\)
b,\(B=\dfrac{2\sqrt{x}-1}{\sqrt{x}+1}+\dfrac{3\sqrt{x}-1}{x-\sqrt{x}+1}-\dfrac{2x\sqrt{x}-2x+2\sqrt{x}-3}{x\sqrt{x}+1}\)
c,\(C=\left(1-\dfrac{x+3\sqrt{x}}{x-9}\right):\left(\dfrac{\sqrt{x}-3}{2-\sqrt{x}}+\dfrac{\sqrt{x}-2}{3+\sqrt{x}}-\dfrac{9-x}{x+\sqrt{x}-6}\right)\)
d,\(D=\left(\dfrac{\sqrt{x}}{3+\sqrt{x}}+\dfrac{x+9}{9-x}\right):\left(\dfrac{3\sqrt{x}+1}{x-3\sqrt{x}}-\dfrac{1}{\sqrt{x}}\right)\)
e,\(E=\dfrac{15\sqrt{x}-11}{x+2\sqrt{x}-3}+\dfrac{3\sqrt{x}-2}{1-\sqrt{x}}-\dfrac{2\sqrt{x}+3}{\sqrt{x}+3}\)
Rút gọn:1) dfrac{1}{sqrt{3}+1}+dfrac{1}{sqrt{3}-1}-2sqrt{3}Pleft(dfrac{1}{sqrt{x}-1}-dfrac{1}{sqrt{x}}right):left(dfrac{sqrt{x}+1}{sqrt{x}-2}-dfrac{sqrt{x}+2}{sqrt{x}-1}right)2) sqrt{3-2sqrt{2}}+dfrac{1}{sqrt{2}-1}Mleft(dfrac{sqrt{a}}{sqrt{a}-2}+dfrac{sqrt{a}}{sqrt{a}+2}right).dfrac{a-4}{sqrt{4a}}Nleft(1-dfrac{sqrt{x}}{sqrt{x}+1}right):left(dfrac{sqrt{x}+2}{sqrt{x}+3}+dfrac{sqrt{x}-3}{2-sqrt{x}}+dfrac{sqrt{x}-2}{x+sqrt{x}-6}right)Qleft(1-dfrac{sqrt{x}}{sqrt{x}+1}right):left(dfrac{sqrt{x}+2}{sqr...
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Rút gọn:
1) \(\dfrac{1}{\sqrt{3}+1}+\dfrac{1}{\sqrt{3}-1}-2\sqrt{3}\)
\(P=\left(\dfrac{1}{\sqrt{x}-1}-\dfrac{1}{\sqrt{x}}\right):\left(\dfrac{\sqrt{x}+1}{\sqrt{x}-2}-\dfrac{\sqrt{x}+2}{\sqrt{x}-1}\right)\)
2) \(\sqrt{3-2\sqrt{2}}+\dfrac{1}{\sqrt{2}-1}\)
\(M=\left(\dfrac{\sqrt{a}}{\sqrt{a}-2}+\dfrac{\sqrt{a}}{\sqrt{a}+2}\right).\dfrac{a-4}{\sqrt{4a}}\)
\(N=\left(1-\dfrac{\sqrt{x}}{\sqrt{x}+1}\right):\left(\dfrac{\sqrt{x}+2}{\sqrt{x}+3}+\dfrac{\sqrt{x}-3}{2-\sqrt{x}}+\dfrac{\sqrt{x}-2}{x+\sqrt{x}-6}\right)\)
\(Q=\left(1-\dfrac{\sqrt{x}}{\sqrt{x}+1}\right):\left(\dfrac{\sqrt{x}+2}{\sqrt{x}-3}+\dfrac{\sqrt{x}-8}{x-5\sqrt{x}+6}+\dfrac{\sqrt{x}+3}{2-\sqrt{x}}\right)\)
Làm chi tiết giúp mình với vì mình yếu phần này lắm
A=\(\dfrac{2\sqrt{x}-9}{x-5\sqrt{x}+6}-\dfrac{3}{x\sqrt{x}+1}+\dfrac{2}{x-\sqrt{x}+1}\)
B=\(\dfrac{1}{\sqrt{x}+1}-\dfrac{3}{x\sqrt{x}+1}+\dfrac{2}{x-\sqrt{x}+1}\)
\(C=(\dfrac{\sqrt x+1}{\sqrt -1}-\dfrac{x+\sqrt x}{x-1})÷\dfrac{1}{\sqrt x+1}+\dfrac{1}{\sqrt x-1}\)
a) \(\left(\dfrac{1}{2-\sqrt{3}}-\dfrac{3}{\sqrt{7}-2}\right):\dfrac{2}{\sqrt{7}+\sqrt{3}}\)
b) \(\left(\dfrac{x-\sqrt{x}}{1-\sqrt{x}}-1\right):\left(\sqrt{x}-x\right)+\dfrac{1}{x}\)
Hãy rút gọn các biểu thức sau: a) D = \(\dfrac{\sqrt{x}+1}{\sqrt{x}-1}-\dfrac{\sqrt{x}-1}{\sqrt{x}+1}+\dfrac{4x}{x-1}\)
b) E = \(\dfrac{\sqrt{x}+1}{x-\sqrt{x}+1}-\dfrac{1}{\sqrt{x}+1}+\dfrac{5x-8\sqrt{x}+5}{x\sqrt{x}+1}\)
C=\(\left(\dfrac{x+2}{x\sqrt{x}-1}+\dfrac{\sqrt{x}}{x+\sqrt{x}+1}+\dfrac{1}{1-\sqrt{x}}\right):\dfrac{\sqrt{x}-1}{2}\)
Bài 1: Pdfrac{sqrt{x}+1}{x-1}-dfrac{x+2}{xsqrt{x}-1}-dfrac{sqrt{x}+1}{x+sqrt{x}+1}
a.Rút gọn P
b, Tìm MaxQ dfrac{2}{P}+sqrt{x}
Bài 2:
Pleft(1-dfrac{1-3sqrt{x}}{x-9}right):left(dfrac{9-x}{x+sqrt{x}+6}-dfrac{sqrt{x}-3}{2-sqrt{x}}-dfrac{sqrt{x}-3}{sqrt{x}+3}right)
a, Rút gọn P
b, Tìm x để P 0
c, Max Q P(x+1)
Bài 3:Pdfrac{x-sqrt{x}}{x+sqrt{x}+1}-dfrac{2x+sqrt{x}}{sqrt{x}}+dfrac{2left(x-1right)}{sqrt{x}-1}
a, Rút gọn P
b, Tìm x để Qdfrac{2sqrt{x}}{P} nhận giá trị nguyên
Bài 4: Rút gọn:...
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Bài 1: \(P=\dfrac{\sqrt{x}+1}{x-1}-\dfrac{x+2}{x\sqrt{x}-1}-\dfrac{\sqrt{x}+1}{x+\sqrt{x}+1}\)
a.Rút gọn P
b, Tìm MaxQ = \(\dfrac{2}{P}+\sqrt{x}\)
Bài 2:
\(P=\left(1-\dfrac{1-3\sqrt{x}}{x-9}\right):\left(\dfrac{9-x}{x+\sqrt{x}+6}-\dfrac{\sqrt{x}-3}{2-\sqrt{x}}-\dfrac{\sqrt{x}-3}{\sqrt{x}+3}\right)\)
a, Rút gọn P
b, Tìm x để P > 0
c, Max Q = P(x+1)
Bài 3:\(P=\dfrac{x-\sqrt{x}}{x+\sqrt{x}+1}-\dfrac{2x+\sqrt{x}}{\sqrt{x}}+\dfrac{2\left(x-1\right)}{\sqrt{x}-1}\)
a, Rút gọn P
b, Tìm x để \(Q=\dfrac{2\sqrt{x}}{P}\) nhận giá trị nguyên
Bài 4: Rút gọn: \(P=\left(2-\dfrac{\sqrt{x}-1}{2\sqrt{x}-3}\right):\left(\dfrac{6\sqrt{x}+1}{2x-\sqrt{x}-3}+\dfrac{\sqrt{x}}{\sqrt{x+1}}\right)\)
Giải phương trình:
a) \(2\sqrt{x}\) + 1 = \(\sqrt{2}\) = 5
b) \(\dfrac{\sqrt{x-1}}{\sqrt{x-2}}\)= \(\dfrac{1}{2}\)
c) \(\dfrac{1}{\sqrt{x-3}}\) = \(\dfrac{2}{\sqrt{x-5}}\)