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= 0,6 : 5/4 + 1/4 + 2/9 : 5/9 - 1/4
= 3/5 . 4/5 + 2/9 . 9/5
= 12/25 + 2/5
= 22/25
\(\left(\frac{2}{5}\sqrt{16}+2\sqrt{\frac{16}{25}}\right):2\sqrt{\frac{1}{16}}=\left(\frac{2}{5}.\sqrt{4^2}+2\sqrt{\frac{4^2}{5^2}}\right):\frac{2}{\sqrt{4^2}}\)
\(=\left(\frac{2}{5}.4+2.\frac{4}{5}\right).2=\left(\frac{8}{5}+\frac{8}{5}\right).2=\frac{32}{5}\)
\(\left(\frac{2}{5}.\sqrt{16}+2\sqrt{\frac{16}{25}}\right):2\sqrt{\frac{1}{16}}\)
\(=\left(\frac{2}{5}.4+2.\frac{4}{5}\right):2.\frac{1}{4}\)
\(=\left(\frac{8}{5}+\frac{8}{5}\right):\frac{1}{2}\)
\(=\frac{16}{5}:\frac{1}{2}\)
\(=\frac{32}{5}\)
^...^ ^_^
\(\left(\sqrt{1\frac{9}{16}}-\sqrt{\frac{9}{16}}\right)\)
\(=\left(\sqrt{\frac{25}{16}}-\sqrt{\frac{9}{16}}\right)\)
\(=\left(\sqrt{\left(\frac{5}{4}\right)^2}-\sqrt{\left(\frac{3}{4}\right)^2}\right)\)
\(=\left(\frac{5}{4}-\frac{3}{4}\right)=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}\)
...Vậy ...................
\(\sqrt{1\frac{9}{16}}-\sqrt{\frac{9}{16}}=\sqrt{\frac{25}{16}}-\sqrt{\frac{9}{16}}\)
\(=\sqrt{\left(\frac{5}{4}\right)^2}-\sqrt{\left(\frac{3}{4}\right)^2}=\frac{5}{4}-\frac{3}{4}=\frac{2}{4}=\frac{1}{2}\)
#
\(b,\left(\sqrt{1\frac{9}{16}-\sqrt{\frac{9}{16}}}\right):5\)
\(=\left(\sqrt{\frac{25}{16}-\frac{3}{4}}\right):5\)
\(=\sqrt{\frac{13}{16}}:5\)
\(=\frac{\sqrt{13}}{4}:5\)
\(=\frac{\sqrt{13}}{20}\)
\(\sqrt{\frac{1}{9}+\frac{1}{16}}\)
\(=\frac{1}{3}+\frac{1}{4}\)
\(=\frac{7}{12}\)
\(\frac{1}{2}.\sqrt{100}-\sqrt{\frac{1}{16}+\left(\frac{1}{3}\right)^0}=5-\frac{\sqrt{17}}{4}=\frac{20-\sqrt{17}}{4}\)
\(\sqrt{64}+3.\sqrt{\left(\frac{1}{2}\right)^0}-\frac{\sqrt{16}}{4}+\left(\sqrt{\left(-4\right)^2:\frac{1}{2}}\right).8\)
= \(8+3.1-\frac{4}{4}+\left(\sqrt{16:\frac{1}{2}}\right).8\)
=\(8+3-1+\left(\sqrt{16.2}\right).8\)
=\(8+3-1+\left(\sqrt{32}\right).8\)
=\(11-1+\left(\sqrt{32}\right).8\)
= \(10+5,65685424949.8\)
= \(10+45,2548339959\)
=\(55,2548339959\)
Mình ko biết là có đúng không í
vì mình thấy đề bài có gì sai ý!!!
\(\sqrt{64}+3\sqrt{\left(\frac{1}{2}\right)^0}-\frac{\sqrt{16}}{4}+\left(\sqrt{\left(-4\right)^2}:\frac{1}{2}\right).8\)
\(=\sqrt{8^2}+3\sqrt{1}-\frac{\sqrt{4^2}}{4}+\left(\sqrt{16}:\frac{1}{2}\right).8\)
\(=8+3-\frac{4}{4}+\left(\sqrt{4^2}:\frac{1}{2}\right).8\)
\(=11-1+\left(4.2\right).8\)
\(=10+8.8=10+64=74\)
1/4 nha
\(\sqrt{\frac{1}{6}}=\frac{\sqrt{6}}{6}=0,4082482905\)