usun niewymiernosc z mianownika ulamka ( 4 przyklady)​

Usun Niewymiernosc Z Mianownika Ulamka 4 Przyklady class=

Odpowiedź :

Odpowiedź:

a)

5/√6 = 5/√6 * √6/√6 = 5/6√6

b)

7/√14 = 7/√14 * √14/√14 = 7/14√14 = 1/2√14

c)

30/√5 = 30/√5 * √5/√5 = 30/5√5 = 6√5

d)

6/(5√6) = 6/(5√6) * √6/√6 = 6/30√6 = 1/5√6

Szczegółowe wyjaśnienie:

Odpowiedź:

[tex]a)\ \ \dfrac{5}{\sqrt{6}}=\dfrac{5}{\sqrt{6}}\cdot\dfrac{\sqrt{6}}{\sqrt{6}}=\dfrac{5\sqrt{6}}{\sqrt{6}\cdot\sqrt{6}}=\dfrac{5\sqrt{6}}{6}\\\\\\b)\ \ \dfrac{7}{\sqrt{14}}=\dfrac{7}{\sqrt{14}}\cdot\dfrac{\sqrt{14}}{\sqrt{14}}=\dfrac{7\sqrt{14}}{\sqrt{14}\cdot\sqrt{14}}=\dfrac{\not7^1\sqrt{14}}{\not14_{2}}=\dfrac{\sqrt{14}}{2}[/tex]

[tex]c)\ \ \dfrac{30}{\sqrt{5}}=\dfrac{30}{\sqrt{5}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}}=\dfrac{30\sqrt{5}}{\sqrt{5}\cdot\sqrt{5}}=\dfrac{\not30^6\sqrt{5}}{\not5_{1}}=6\sqrt{5}\\\\\\d)\ \ \dfrac{6}{5\sqrt{6}}=\dfrac{6}{5\sqrt{6}}\cdot\dfrac{\sqrt{6}}{\sqrt{6}}=\dfrac{6\sqrt{6}}{5\sqrt{6}\cdot\sqrt{6}}=\dfrac{6\sqrt{6}}{5\cdot6}=\dfrac{\not6^1\sqrt{6}}{\not30_{5}}=\dfrac{\sqrt{6}}{5}[/tex]

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