Ta có: \(\sqrt{8.1\cdot3.6\cdot2.25}\)
\(=\sqrt{\frac{81}{10}\cdot\frac{36}{10}\cdot\frac{225}{100}}\)
\(=\sqrt{\frac{81\cdot36}{100}\cdot\frac{225}{100}}\)
\(=\sqrt{\frac{81\cdot36}{100}}\cdot\sqrt{\frac{225}{100}}\)
\(=\sqrt{\left(\frac{9\cdot6}{10}\right)^2}\cdot\sqrt{\left(\frac{15}{10}\right)^2}\)
\(=\frac{9\cdot6}{10}\cdot\frac{15}{10}\)
\(=\frac{9\cdot3}{5}\cdot\frac{3}{2}\)
\(=\frac{81}{10}\)
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\(=\sqrt{8,1\cdot10\cdot\frac{3,6}{10}\cdot2,25}\)
\(=\sqrt{81\cdot0,36\cdot2,25}\)
\(=9\cdot0,6\cdot1.5\)
=8,1
