\(\left(-4\right)^2.\left(\dfrac{3}{4}-0,25\right)-\left(3.\dfrac{1}{2}-1\dfrac{1}{2}\right)-\sqrt{16}\)
\(=16.\left(\dfrac{3}{4}-\dfrac{1}{4}\right)-\left(\dfrac{3}{2}-\dfrac{3}{2}\right)-4\)
\(=16.\dfrac{1}{2}-0-4\)
\(=8-0-4=8-4=4\)
Tính
a) \(2\sqrt{\dfrac{25}{16}}-3\sqrt{\dfrac{49}{36}}+4\sqrt{\dfrac{81}{64}}\)
b) \(\left(3\sqrt{2}\right)^2-\left(4\sqrt{\dfrac{1}{2}}\right)^2+\dfrac{1}{16}.\left(\sqrt{\dfrac{3}{4}}\right)^2\)
c) \(\dfrac{2}{3}\sqrt{\dfrac{81}{16}}-\dfrac{3}{4}\sqrt{\dfrac{64}{9}}+\dfrac{7}{5}.\sqrt{\dfrac{25}{196}}\)
H = \(\left(0,25\right)^{-1}.\left(\dfrac{1}{4}\right)^{-2}.\left(\dfrac{4}{3}\right)^{-2}.\left(\dfrac{5}{4}\right)^{-1}.\left(\dfrac{2}{3}\right)^{-3}\)
Tính
P = \(1+\dfrac{1}{2}\left(1+2\right)+\dfrac{1}{3}\left(1+2+3\right)+\dfrac{1}{4}\left(1+2+3+4\right)+....+\dfrac{1}{16}\left(1+2+3+...+16\right)\)
\(\dfrac{\sqrt{\dfrac{9}{4}-3^{-1}+2018^0}}{25\%+1\dfrac{1}{4}-1,3}-\dfrac{\left(\dfrac{-1}{2}\right)^2-\sqrt{\dfrac{4}{9}}+0,4}{0,6-\dfrac{2}{3}.\left(\dfrac{-1}{4}-\dfrac{1}{2}\right)}\)
so sánh:
x = \(\left(1-\dfrac{1}{\sqrt{4}}\right)\left(1-\dfrac{1}{\sqrt{16}}\right)\left(1-\dfrac{1}{\sqrt{36}}\right)\left(1-\dfrac{1}{\sqrt{64}}\right)\left(1-\dfrac{1}{\sqrt{100}}\right)\) và y = \(\sqrt{20+0,25}\)
tính: : (-2)3 . \(\left(\dfrac{3}{4}-0,25\right):\left(2\dfrac{1}{4}-1\dfrac{1}{6}\right)\)
Tính hợp lí nếu có thể
a) \(\left(\dfrac{5}{7}-\dfrac{7}{5}\right)-\left[\dfrac{1}{2}-\left(-\dfrac{2}{7}-\dfrac{1}{10}\right)\right]\)
b) \(\dfrac{2}{15}:\left(-5\dfrac{4}{5}\right).2\dfrac{5}{12}+\sqrt{1\dfrac{9}{16}}:\left(-\dfrac{3}{4}\right)\)
Thực hiện tính
M=\(1+\dfrac{1}{2}\cdot\left(1+2\right)+\dfrac{1}{3}\cdot\left(1+2+3\right)+\dfrac{1}{4}\cdot\left(1+2+3+4\right)+...+\dfrac{1}{16}\cdot\left(1+2+3+...+16\right)\)
\(-2\dfrac{1}{5}.\left(\dfrac{-9}{11}\right).\left(-1\dfrac{1}{4}\right).\dfrac{2}{5}+\left(-6\right).\left(\dfrac{-1}{3}\right).0,25\)
tính
