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a) \(A=\dfrac{1}{\sqrt{25}}+\dfrac{\sqrt{49}}{\sqrt{36}}-\dfrac{2}{\sqrt{100}}.\)
\(=\dfrac{1}{5}+\dfrac{7}{6}-\dfrac{1}{5}.\)
\(=\left(\dfrac{1}{5}-\dfrac{1}{5}\right)+\dfrac{7}{6}.\)
\(=0+\dfrac{7}{6}=\dfrac{7}{6}.\)
Vậy \(A=\dfrac{7}{6}.\)
b) \(B=\sqrt{\dfrac{0,01}{1,21}}+3.\dfrac{2}{\sqrt{10^2}+2^2+40}-\dfrac{3}{4}.\)
\(=\dfrac{1}{11}+3.\dfrac{2}{10+4+40}-\dfrac{3}{4}.\)
\(=\dfrac{1}{11}+3.\dfrac{1}{37}-\dfrac{3}{4}.\)
\(=\dfrac{1}{11}+\dfrac{1}{9}-\dfrac{3}{4}.\)
\(=\dfrac{36}{396}+\dfrac{44}{396}-\dfrac{297}{296}.\)
\(=-\dfrac{217}{396}.\)
Vậy \(B=-\dfrac{217}{396}.\)
\(B=\left(\frac{10\sqrt{1,21}}{7}+\frac{22\sqrt{0,25}}{3}\right):\left(\frac{5}{\sqrt{49}}+\frac{\sqrt{225}}{9}\right)\)
\(=\left(\frac{10.1,1}{7}+\frac{22.0,5}{3}\right):\left(\frac{3}{7}+\frac{15}{9}\right)\)
\(=\left(\frac{11}{7}+\frac{11}{3}\right):\left(\frac{27}{63}+\frac{105}{63}\right)\)
\(=\left(\frac{33}{21}+\frac{77}{21}\right):\frac{132}{63}\)
\(=\frac{110}{21}:\frac{132}{63}\)
\(=\frac{110}{21}.\frac{63}{132}\)
\(=\frac{5}{2}\)
Đúng ko nhỉ???
a: \(\Leftrightarrow4x+\dfrac{3}{4}=2\cdot\dfrac{2}{5}+0.01\cdot10=\dfrac{9}{10}\)
=>4x=3/20
hay x=3/80
b: \(\Leftrightarrow\left|x\right|=4+\dfrac{1}{8}-9=-\dfrac{39}{8}\)(vô lý)
c: 2x(x-2/3)=0
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-\dfrac{2}{3}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{2}{3}\end{matrix}\right.\)
d: \(\dfrac{37-x}{x+13}=\dfrac{3}{7}\)
=>259-7x=3x+39
=>-10x=-220
hay x=22
Nếu \(3\frac{2}{\sqrt{10^2+2^2+40}}\)là hỗn số
=> B = \(2\sqrt{\frac{0,01}{1,21}}+3\frac{2}{\sqrt{10^2+2^2+40}}-\frac{3}{4}\)
B = \(2\sqrt{\frac{1}{121}}+3\frac{2}{144}-\frac{3}{4}\)
B = \(\frac{2}{11}+3\frac{1}{6}-\frac{3}{4}\)
B = \(\frac{2}{11}+\frac{19}{6}-\frac{3}{4}\)
B = \(\frac{343}{132}\)
tớ nói đơn giản thui:
\(\sqrt{a^2}=a\)