Question

tính \(\sqrt{8,1\times3,6\times2,25}\)

Answer 1

Ta có: \(\sqrt{8.1\cdot3.6\cdot2.25}\)

\(=\sqrt{\frac{81}{10}\cdot\frac{36}{10}\cdot\frac{225}{100}}\)

\(=\sqrt{\frac{81\cdot36}{100}\cdot\frac{225}{100}}\)

\(=\sqrt{\frac{81\cdot36}{100}}\cdot\sqrt{\frac{225}{100}}\)

\(=\sqrt{\left(\frac{9\cdot6}{10}\right)^2}\cdot\sqrt{\left(\frac{15}{10}\right)^2}\)

\(=\frac{9\cdot6}{10}\cdot\frac{15}{10}\)

\(=\frac{9\cdot3}{5}\cdot\frac{3}{2}\)

\(=\frac{81}{10}\)

Answer 2

\(=\sqrt{8,1\cdot10\cdot\frac{3,6}{10}\cdot2,25}\)

\(=\sqrt{81\cdot0,36\cdot2,25}\)

\(=9\cdot0,6\cdot1.5\)

=8,1