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wyłącz czynnik przed znak pierwiastka:
√50
√108
³√135
³√250
włącz czynnik pod znak pierwiastka:
3√5
10√11
2 ³√6
3 ³√7


Odpowiedź :

[tex] \sqrt{50} = \sqrt{25 \times 2} = 5 \sqrt{2} [/tex]

[tex] \sqrt{108} = \sqrt{36 \times 3} = 6 \sqrt{3} [/tex]

[tex] \sqrt[3]{135} = \sqrt[3]{27 \times 5} = 3 \sqrt[3]{5} [/tex]

[tex] \sqrt[3]{250} = \sqrt[3]{125 \times 2} = 5 \sqrt[3]{2} [/tex]

[tex]3 \sqrt{5} = \sqrt{ {3}^{2} \times 5} = \sqrt{9 \times 5} = \sqrt{45} [/tex]

[tex]10 \sqrt{11} = \sqrt{ {10}^{2} \times 11 } = \sqrt{100 \times 11} = \sqrt{1100} [/tex]

[tex]2 \sqrt[3]{6} = \sqrt[3]{ {2}^{3} \times 6} = \sqrt[3]{8 \times 6} = \sqrt[3]{48} [/tex]

[tex]3 \sqrt[3]{7} = \sqrt[3]{ {3}^{3} \times 7 } = \sqrt[3]{27 \times 7} = \sqrt[3]{189} [/tex]