Matematyka
pyyzaa
2017-06-22 13:15:09
1. Wyłącz czynnik przed znak pierwiastka 2. Włącz czynnik pod znak pierwiastka
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Konto usunięte
2017-06-22 17:02:29

[latex]sqrt{18}=sqrt{9cdot2}=3sqrt{2}[/latex] [latex]sqrt{8}=sqrt{4cdot2}=2sqrt{2}[/latex] [latex]sqrt{75}=sqrt{25cdot3}=5sqrt{3}[/latex] [latex]sqrt{63}=sqrt{9cdot7}=3sqrt{7}[/latex] [latex]sqrt{162}=sqrt{81cdot2}=9sqrt{2}[/latex] [latex]sqrt[3]{16}=sqrt[3]{8cdot2}=2sqrt[3]{2}[/latex] [latex]sqrt[3]{81}=sqrt[3]{27cdot3}=3sqrt[3]{3}[/latex] [latex]sqrt[3]{500}=sqrt[3]{125cdot4}=5sqrt[3]{4}[/latex] [latex]sqrt[3]{192}=sqrt[3]{64cdot3}=4sqrt[3]{3}[/latex] [latex]sqrt[3]{135}=sqrt[3]{27cdot5}=3sqrt[3]{5}[/latex] [latex]sqrt[4]{64}=sqrt[4]{2^4cdot4}=2sqrt[4]{4}=2sqrt{2}[/latex] [latex]sqrt[4]{243}=sqrt[4]{3^4cdot3}=3sqrt[4]{3}[/latex] [latex]sqrt[5]{320}=sqrt[5]{2^5cdot10}=2sqrt[5]{10}[/latex] [latex]sqrt[5]{2048}=sqrt[5]{2^{10}cdot2}=2^2sqrt[5]{2}=4sqrt[5]{2}[/latex] [latex]sqrt[6]{576}=sqrt[6]{2^6cdot3^2}=2sqrt[6]{3^2}=2sqrt[3]{3}[/latex] Zadanie 3.25 [latex]2sqrt{5}=sqrt{2^2cdot5}=sqrt{20}[/latex] [latex]3sqrt{6}=sqrt{3^2cdot6}=sqrt{54}[/latex] [latex]5sqrt{11}=sqrt{5^2cdot11}=sqrt{275}[/latex] [latex]2sqrt{17}=sqrt{2^2cdot17}=sqrt{68}[/latex] [latex]4sqrt{10}=sqrt{4^2cdot10}=sqrt{160}[/latex] [latex]3sqrt[3]{2}=sqrt[3]{3^3cdot2}=sqrt[3]{54}[/latex] [latex]2sqrt[3]{3}=sqrt[3]{2^3cdot3}=sqrt[3]{24}[/latex] [latex]5sqrt[3]{5}=sqrt[3]{5^3cdot5}=sqrt[3]{625}[/latex] [latex]4sqrt[3]{7}=sqrt[4]{4^3cdot7}=sqrt[4]{448}[/latex] [latex]10sqrt[3]{6}=sqrt[3]{10^3cdot6}=sqrt[3]{6000}[/latex] [latex]5sqrt[4]{3}=sqrt[4]{5^4cdot3}=sqrt[4]{1875}[/latex] [latex]4sqrt[4]{4}=sqrt[4]{4^4cdot4}=sqrt[4]{1024}[/latex] [latex]2sqrt[5]{6}=sqrt[5]{2^5cdot6}=sqrt[5]{192}[/latex] [latex]3sqrt[5]{8}=sqrt[5]{3^5cdot8}=sqrt[5]{1944}[/latex] [latex]2sqrt[7]{5}=sqrt[7]{2^7cdot5}=sqrt[7]{640}[/latex]

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