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# Which expression is equal to 6/5√ ?

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Which expression is equal to 6/5√ ?

Dec 20, 2017

#1
+21816
+3

Which expression is equal to 6/sqrt(5) ?

$$\begin{array}{|rcll|} \hline && \dfrac{6}{\sqrt{5}} \\\\ &=& \dfrac{6}{\sqrt{5}}\cdot \dfrac{\sqrt{5}}{\sqrt{5}} \\\\ &=& \dfrac{6\sqrt{5}}{\sqrt{5}\sqrt{5}} \\\\ &=& \dfrac{6\sqrt{5}}{\sqrt{5\cdot 5}} \\\\ &=& \dfrac{6\sqrt{5}}{\sqrt{5^2}} \\\\ &=& \dfrac{6\sqrt{5}}{5} \\ \hline \end{array}$$

Dec 20, 2017

#1
+21816
+3

Which expression is equal to 6/sqrt(5) ?

$$\begin{array}{|rcll|} \hline && \dfrac{6}{\sqrt{5}} \\\\ &=& \dfrac{6}{\sqrt{5}}\cdot \dfrac{\sqrt{5}}{\sqrt{5}} \\\\ &=& \dfrac{6\sqrt{5}}{\sqrt{5}\sqrt{5}} \\\\ &=& \dfrac{6\sqrt{5}}{\sqrt{5\cdot 5}} \\\\ &=& \dfrac{6\sqrt{5}}{\sqrt{5^2}} \\\\ &=& \dfrac{6\sqrt{5}}{5} \\ \hline \end{array}$$

heureka Dec 20, 2017