Hej!
[tex] \sqrt{32} = \sqrt{16 \times 2} = \sqrt{ {4}^{2} \times 2 } = 4 \sqrt{2} \\ \\ \sqrt{75} = \sqrt{25 \times 3} = \sqrt{ {5}^{2} \times 3 } = 5 \sqrt{3} \\ \\ \sqrt{700} = \sqrt{100 \times 7} = \sqrt{ {10}^{2} \times 7 } = 10 \sqrt{7} \\ \\ \sqrt{242} = \sqrt{121 \times 2} = \sqrt{ {11}^{2} \times 2 } = 11 \sqrt{2} [/tex]
Pozdrawiam! - Julka
[tex]a) \ \sqrt{32} = \sqrt{16\cdot2} = \sqrt{16}\cdot\sqrt{2} = 4\cdot\sqrt{2} = 4\sqrt{2}\\\\b) \ \sqrt{75} = \sqrt{25\cdot3} = \sqrt{25}\cdot\sqrt{3} = 5\cdot\sqrt{3} = 5\sqrt{3}\\\\c) \ \sqrt{700} = \sqrt{100\cdot7} = \sqrt{100}\cdot\sqrt{7} = 10\cdot\sqrt{7} = 10\sqrt{7}\\\\d) \ \sqrt{242} = \sqrt{121\cdot2} = \sqrt{121}\cdot\sqrt{2} = 11\cdot\sqrt{2} = 11\sqrt{2}[/tex]