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# ​ Which expression is equal to 520−−√−345−−√ ?

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Which expression is equal to 520−−√−345−−√ ?

Dec 20, 2017

#1
+22554
+2

Which expression is equal to 5*sqrt(20)-3*sqrt(45) ?

$$\begin{array}{|rcll|} \hline && 5\sqrt{20}-3\sqrt{45} \\ &=& 5\sqrt{4\cdot 5}-3\sqrt{9\cdot 5} \\ &=& 5\sqrt{4}\sqrt{5}-3\sqrt{9}\sqrt{5} \\ &=& 5\cdot 2\sqrt{5}-3\cdot3\sqrt{5} \\ &=& 10\sqrt{5}-9\sqrt{5} \\ &=& \sqrt{5} \\ \hline \end{array}$$

Dec 20, 2017

#1
+22554
+2
$$\begin{array}{|rcll|} \hline && 5\sqrt{20}-3\sqrt{45} \\ &=& 5\sqrt{4\cdot 5}-3\sqrt{9\cdot 5} \\ &=& 5\sqrt{4}\sqrt{5}-3\sqrt{9}\sqrt{5} \\ &=& 5\cdot 2\sqrt{5}-3\cdot3\sqrt{5} \\ &=& 10\sqrt{5}-9\sqrt{5} \\ &=& \sqrt{5} \\ \hline \end{array}$$