Rut gon
a) ( 2- \(\frac{a-3.\sqrt{a}}{\sqrt{a}-3}\)) . ( 2- \(\frac{5.\sqrt{a}+\sqrt{a}.b}{\sqrt{b}-5}\))
b) \(\frac{9-a}{\sqrt{a}+3}\)- \(\frac{9-6.\sqrt{a}+a}{\sqrt{a}-3}\)- 6
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Rut gon
a) ( 2- \(\frac{a-3.\sqrt{a}}{\sqrt{a}-3}\)) . ( 2- \(\frac{5.\sqrt{a}+\sqrt{a}.b}{\sqrt{b}-5}\))
b) \(\frac{9-a}{\sqrt{a}+3}\)- \(\frac{9-6.\sqrt{a}+a}{\sqrt{a}-3}\)- 6
Rut gon
a) ( 2- \(\frac{a-3.\sqrt{a}}{\sqrt{a}-3}\)) . ( 2- \(\frac{5.\sqrt{a}+\sqrt{a}.b}{\sqrt{b}-5}\))
b) \(\frac{9-a}{\sqrt{a}+3}\)- \(\frac{9-6.\sqrt{a}+a}{\sqrt{a}-3}\)- 6
b) ĐK: \(a\ge0,a\ne6\)
\(\frac{\left(3-\sqrt{a}\right)\left(3+\sqrt{a}\right)}{\sqrt{a}+3}-\frac{\left(\sqrt{a}-3\right)^2}{\sqrt{a}-3}-6\)
=\(\left(3-\sqrt{a}\right)-\left(\sqrt{a}-3\right)-6=3-\sqrt{a}-\sqrt{a}+3-6\)
\(=-2\sqrt{a}\)
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Rut gon
a) ( 2- \(\frac{a-3.\sqrt{a}}{\sqrt{a}-3}\)) . ( 2- \(\frac{5.\sqrt{a}+\sqrt{a}.b}{\sqrt{b}-5}\))
b) \(\frac{9-a}{\sqrt{a}+3}\)- \(\frac{9-6.\sqrt{a}+a}{\sqrt{a}-3}\)- 6
\(a,\)\(\left(2-\frac{\sqrt{a}\left(\sqrt{a}-3\right)}{\sqrt{a}-3}\right).\left(2-\frac{\sqrt{a}\left(b+5\right)}{\sqrt{b}-5}\right).\)
\(=\left(2-\sqrt{a}\right)\left(\frac{2\sqrt{b}-10-\sqrt{ab}-5\sqrt{a}}{\sqrt{b}-5}\right)\)
\(=\left(2-\sqrt{a}\right)\left(\frac{2\left(\sqrt{b}-5\right)-\sqrt{a}\left(\sqrt{b}-5\right)}{\sqrt{b}-5}\right)\)
\(=\frac{\left(2-\sqrt{a}\right)\left(2-\sqrt{a}\right)\left(\sqrt{b}-5\right)}{\sqrt{b}-5}=\left(2-\sqrt{a}\right)^2\)
\(=a-4\sqrt{a}+4\)
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\(b,\frac{9-a}{\sqrt{a}+3}-\frac{9-6\sqrt{a}+a}{\sqrt{a}-3}-6\)
\(=\frac{\left(3-\sqrt{a}\right)\left(3+\sqrt{a}\right)}{\sqrt{a}+3}-\frac{\left(\sqrt{a}-3\right)^2}{\sqrt{a}-3}-6\)
\(=3-\sqrt{a}-\left(\sqrt{a}-3\right)-6\)
\(=-2\sqrt{a}\)
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Rut gon
a) ( 2- \(\frac{a-3.\sqrt{a}}{\sqrt{a}-3}\)) . ( 2- \(\frac{5.\sqrt{a}+\sqrt{a}.b}{\sqrt{b}-5}\))
b) \(\frac{9-a}{\sqrt{a}+3}\)- \(\frac{9-6.\sqrt{a}+a}{\sqrt{a}-3}\)- 6
\(b,\frac{9-a}{\sqrt{a}+3}-\frac{9-6\sqrt{a}+a}{\sqrt{a}-3}-6\)
\(=\frac{\left(3-\sqrt{a}\right)\left(3+\sqrt{a}\right)}{\sqrt{a}+3}-\frac{\left(\sqrt{a}-3\right)^2}{\sqrt{a}-3}-6\)
\(=3-\sqrt{a}-\left(\sqrt{a}-3\right)-6\)
\(=3-\sqrt{a}-\sqrt{a}+3-6\)
\(=-2\sqrt{a}\)
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Rut gon
\(\left(2-\frac{a-3\sqrt{a}}{\sqrt{a}-3}\right)\left(2-\frac{5\sqrt{a-\sqrt{ab}}}{\sqrt{b}-5}\right)\) voi a,b >0 a#3 ,b#25
đầu tiên phải sửa điều kiện của a đó là \(a\ne9\)
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Rut gon
A=\(\left(\frac{2\sqrt{a}}{\sqrt{a}+3}+\frac{\sqrt{a}}{\sqrt{a}-3}-\frac{3a+3}{a-9}\right):\left(\frac{2\sqrt{a}-2}{\sqrt{a}-3}-1\right)\)
a) rut gon A
b)Tìm a để >hoặc bang \(\frac{-1}{3}\)
c)tìm giá trị nho nhất của A
rut gon:
a)\(3\sqrt{8}-4\sqrt{18}+2\sqrt{50}\)
b)\(5\sqrt{12}+2\sqrt{75}-5\sqrt{48}\)
c)\(\frac{a}{b}\sqrt{\frac{b}{a}}-\frac{1}{a}\sqrt{a^3b}+\frac{2}{3b}\sqrt{9ab^3}\left(a,b>0\right).\)
Rút gọn
a) ( 2 - \(\frac{a-3.\sqrt{a}}{\sqrt{a}-3}\) ) . (2 - \(\frac{5-\sqrt{a}-\sqrt{a}.b}{\sqrt{b}-5}\))
b) \(\frac{9-a}{\sqrt{a}+3}\)- \(\frac{9-6.\sqrt{a}+a}{\sqrt{a}-3}\)
cho biểu thức P = \(\frac{2\sqrt{a}-9}{a-5\sqrt{a}+6}-\frac{\sqrt{a}+3}{\sqrt{a}-2}+\frac{2\sqrt{a}+1}{3-\sqrt{a}}\)đk a >= 0 ; a khác 4 và 9
a, rút gon P
b, tìm a thuộc Z để P thuộc Z