1)
[tex] \sqrt{64 \times 121} = 8 \times 11 = 88 \\ \sqrt{0.01 \times 144} = \sqrt{1.44} = \sqrt{ \frac{36}{25} } = \frac{6}{5} = 1.2 \\ \sqrt{81 \times 36} = 9 \times 6 = 54 \\ \sqrt{2.25 \times 0.04} = \sqrt{0.09} = \sqrt{ \frac{9}{100} } = \frac{3}{10} = 0.3[/tex]
2)
[tex] \sqrt{ \frac{9}{64} } = \frac{ \sqrt{9} }{ \sqrt{64} } = \frac{ \sqrt{ {3}^{2} } }{ \sqrt{ {8}^{2} } } = \frac{3}{8} \\ \sqrt{ \frac{25}{121} } = \frac{ \sqrt{25} }{ \sqrt{121} } = \frac{ \sqrt{ {5}^{2} } }{ \sqrt{ {11}^{2} } } = \frac{5}{11} \\ \sqrt{5 \frac{1}{16} } = \sqrt{ \frac{81}{16} } = \frac{9}{4} \\ \sqrt{5 \frac{4}{9} } = \sqrt{ \frac{49}{9} } = \frac{7}{3} [/tex]
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Answers & Comments
1)
[tex] \sqrt{64 \times 121} = 8 \times 11 = 88 \\ \sqrt{0.01 \times 144} = \sqrt{1.44} = \sqrt{ \frac{36}{25} } = \frac{6}{5} = 1.2 \\ \sqrt{81 \times 36} = 9 \times 6 = 54 \\ \sqrt{2.25 \times 0.04} = \sqrt{0.09} = \sqrt{ \frac{9}{100} } = \frac{3}{10} = 0.3[/tex]
2)
[tex] \sqrt{ \frac{9}{64} } = \frac{ \sqrt{9} }{ \sqrt{64} } = \frac{ \sqrt{ {3}^{2} } }{ \sqrt{ {8}^{2} } } = \frac{3}{8} \\ \sqrt{ \frac{25}{121} } = \frac{ \sqrt{25} }{ \sqrt{121} } = \frac{ \sqrt{ {5}^{2} } }{ \sqrt{ {11}^{2} } } = \frac{5}{11} \\ \sqrt{5 \frac{1}{16} } = \sqrt{ \frac{81}{16} } = \frac{9}{4} \\ \sqrt{5 \frac{4}{9} } = \sqrt{ \frac{49}{9} } = \frac{7}{3} [/tex]