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a,
\(\sqrt{0,0004}=0.02\)
\(\sqrt{\frac{16}{81}}=\frac{\sqrt{16}}{\sqrt{81}}=\frac{4}{9}\)
\(\sqrt{25}=5\)
\(\sqrt{0,16}=0,4\)
b,\(\sqrt{\frac{9}{16}}+\sqrt{\frac{25}{9}}\)
= \(\frac{\sqrt{9}}{\sqrt{16}}+\frac{\sqrt{25}}{\sqrt{9}}\)
= \(\frac{3}{4}+\frac{5}{3}\)
=\(\frac{29}{12}\)
a) \(\sqrt{\frac{25}{81}\cdot\frac{16}{49}\cdot\frac{169}{9}}\\ =\sqrt{\left(\frac{5}{9}\right)^2\cdot\left(\frac{4}{7}\right)^2\cdot\left(\frac{13}{3}\right)^2}\\ =\sqrt{\left(\frac{5}{9}\cdot\frac{4}{7}\cdot\frac{13}{3}\right)^2}\\ =\frac{5}{9}\cdot\frac{4}{7}\cdot\frac{13}{3}\\ =\frac{260}{189}\)
b) \(\sqrt{3\frac{1}{6}\cdot2\frac{14}{25}\cdot2\frac{34}{81}}\\ =\sqrt{\frac{19}{6}\cdot\frac{64}{25}\cdot\frac{196}{81}}\\ =\sqrt{\frac{19}{6}\cdot\left(\frac{8}{5}\right)^2\cdot\left(\frac{14}{9}\right)^2}\\ =\sqrt{\frac{19}{6}\cdot\left(\frac{8}{5}\cdot\frac{14}{9}\right)^2}\\ =\sqrt{\frac{19}{6}\cdot\frac{112}{45}}\\ =\sqrt{\frac{1064}{135}}\)
Bổ sung câu b :
\(\sqrt{3\frac{1}{16}.2\frac{14}{25}.2\frac{34}{81}}=\sqrt{\frac{49}{16}.\frac{64}{25}.\frac{196}{81}}=\sqrt{\frac{49}{16}}.\sqrt{\frac{64}{25}}.\sqrt{\frac{196}{81}}=\frac{7}{4}.\frac{8}{5}.\frac{14}{9}=\frac{196}{45}\)
a)\(=\sqrt{\frac{5.5^2}{3^5.2^6}}=\sqrt{\frac{5}{3^5}}.\frac{5}{2^3}=\frac{5\sqrt{5.3^5}}{3^5.2^3}\)
b)\(=\left(3\sqrt{5}-2\sqrt{5}+\sqrt{5}\right):\sqrt{6}\)
\(=\frac{2\sqrt{5}}{\sqrt{6}}\)\(=\frac{\sqrt{30}}{3}\)
Câu c ttự
d)\(=\sqrt{2^8.5^2}=2^4.5=80\)
e)\(=\sqrt{\left(\frac{3}{4}\right)^2:\left(\frac{5}{6}\right)^2}=\frac{9}{10}\)
\(\sqrt{\frac{9}{16}:\frac{0,49}{0,64}}=\frac{6}{7}\)