Question

$$4\sqrt{320\div2\sqrt{5}$$

Answer

80

Solution


Simplify  \(\sqrt{320}\)  to  \(8\sqrt{5}\).
\[4\times \frac{8\sqrt{5}}{2}\sqrt{5}\]
Simplify.
\[4\sqrt{5}\times \frac{8\sqrt{5}}{2}\]
Take out the constants.
\[\frac{4\times 8}{2}\sqrt{5}\sqrt{5}\]
Simplify  \(4\times 8\)  to  \(32\).
\[\frac{32}{2}\sqrt{5}\sqrt{5}\]
Simplify  \(\frac{32}{2}\)  to  \(16\).
\[16\sqrt{5}\sqrt{5}\]
Simplify.
\[16\sqrt{5\times 5}\]
Simplify  \(5\times 5\)  to  \(25\).
\[16\sqrt{25}\]
Since \(5\times 5=25\), the square root of \(25\) is \(5\).
\[16\times 5\]
Simplify.
\[80\]