Câu 1.
a) \(32\frac{1}{4}:\frac{5}{7}-42\frac{1}{4}:\frac{5}{7}\)
b) \(1\frac{3}{4}+\frac{-5}{6}.\sqrt{-6^2}-2019^{0^{ }}.\sqrt{\frac{49}{16}}\)
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a) \(=\frac{7-4\sqrt{3}+7+4\sqrt{3}}{\left(7+4\sqrt{3}\right)\left(7-4\sqrt{3}\right)}=\frac{14}{49-48}=14\)
b) \(=\frac{15\left(\sqrt{6}-1\right)}{\left(\sqrt{6}+1\right)\left(\sqrt{6}-1\right)}-\frac{5\sqrt{6}}{5}+\frac{4\sqrt{3}-12\sqrt{2}}{\sqrt{6}\left(\sqrt{3}-\sqrt{2}\right)}\)
a) \(\frac{3}{5}+\frac{1}{10}-\frac{6}{5}\)
\(=\left(\frac{3}{5}-\frac{6}{5}\right)+\frac{1}{10}\)
\(=\left(-\frac{3}{5}\right)+\frac{1}{10}\)
\(=-\frac{1}{2}.\)
b) \(1\frac{3}{4}.\frac{2}{7}+1\frac{3}{4}.\frac{5}{7}\)
\(=1\frac{3}{4}.\left(\frac{2}{7}+\frac{5}{7}\right)\)
\(=1\frac{3}{4}.1\)
\(=\frac{7}{4}.1\)
\(=\frac{7}{4}.\)
c) Sao lại có dấu chấm phẩy thế kia?
Chúc bạn học tốt!
a) \(\frac{3}{5}+\frac{1}{10}-\frac{6}{5}=\frac{6+1-12}{10}=\frac{-5}{10}=\frac{-1}{2}\)
b) \(1\frac{3}{4}.\frac{2}{7}+1\frac{3}{4}.\frac{5}{7}=1\frac{3}{4}\left(\frac{2}{7}+\frac{5}{7}\right)=1\frac{3}{4}.1=1\frac{3}{4}=\frac{7}{4}\)
c)\(\left(\frac{3}{4}\right)^2.\sqrt{16}+\left[\left(-2\right)^3:\left(-8\right)-1^{2019}\right]=\frac{9}{16}.4+\left[\left(-8\right):\left(-8\right)-1\right]=\frac{9}{16}.4=\frac{9}{4}\)
a, = \(\frac{\sqrt{7}-5}{2}-\frac{2\left(3-\sqrt{7}\right)}{4}+\frac{6\left(\sqrt{7}+2\right)}{\left(\sqrt{7}-2\right)\left(\sqrt{7}+2\right)}-\frac{5\left(4-\sqrt{7}\right)}{\left(4-\sqrt{7}\right)\left(4+\sqrt{7}\right)}\)