Odpowiedź:
[tex]a) \sqrt{ {4}^{4} } = ({4}^{4} {)}^{ \frac{1}{2} } = {4}^{2} = 16[/tex]
[tex]b) \sqrt{( - 7 {)}^{2} } =( ( - 7 {)}^{2} {)}^{ \frac{1}{2} } = ( - 7 {)}^{1} = - 7[/tex]
[tex]c) \sqrt{ {5}^{4} \times {2}^{2} } = ( {5}^{4} \times {2}^{2} {)}^{ \frac{1}{2} } = {5}^{2} \times 2 = 25 \times 2 = 50[/tex]
[tex]d) \sqrt{8 \times 162} = \sqrt{1296} = 36 [/tex]
[tex]e) \sqrt{3 \times 21 \times 7} = \sqrt{441} = 21[/tex]
[tex]f) \sqrt{27000 \times 30} = \sqrt{ {30}^{3} \times 30 } = \sqrt{ {30}^{4} } = ( {30}^{4} {)}^{ \frac{1}{2} } = {30}^{2} = 900[/tex]
[tex]g) \sqrt{22500} = \sqrt{ {150}^{2} } = ( {150}^{2} {)}^{ \frac{1}{2} } = 150[/tex]
[tex]h) \sqrt{0.0009} = \sqrt{ {0.03}^{2} } = ( {0.03}^{2} {)}^{ \frac{1}{2} } = 0.03[/tex]
[tex]i) \sqrt{12.25} = \sqrt{ \frac{49}{4} } = \frac{7}{2} = 3 \frac{1}{2} [/tex]
[tex]j) \sqrt{4.41} = \sqrt{ \frac{441}{100} } = \frac{21}{10} = 2 \frac{1}{10} [/tex]
[tex]k) \sqrt{ \frac{12}{75} } = \sqrt{ \frac{4}{25} } = \frac{2}{5} [/tex]
[tex]l) \sqrt{ \frac{98}{128} } = \sqrt{ \frac{49}{64} } = \frac{7}{8} [/tex]
[tex]m) \sqrt{7 \frac{9}{16} } = \sqrt{ \frac{121}{16} } = \frac{11}{4} [/tex]
[tex]n) \sqrt{4 \sqrt{16} } = \sqrt{4 \times 4} = \sqrt{16} =4[/tex]
