Question

$$\frac{ 4 \sqrt{ 72 } }{ 3 \sqrt{ 8 } }$$

Answer

4

Solution


Simplify  \(\sqrt{72}\)  to  \(6\sqrt{2}\).
\[\frac{4\times 6\sqrt{2}}{3\sqrt{8}}\]
Simplify  \(4\times 6\sqrt{2}\)  to  \(24\sqrt{2}\).
\[\frac{24\sqrt{2}}{3\sqrt{8}}\]
Simplify  \(\sqrt{8}\)  to  \(2\sqrt{2}\).
\[\frac{24\sqrt{2}}{3\times 2\sqrt{2}}\]
Simplify  \(3\times 2\sqrt{2}\)  to  \(6\sqrt{2}\).
\[\frac{24\sqrt{2}}{6\sqrt{2}}\]
Cancel \(\sqrt{2}\).
\[\frac{24}{6}\]
Simplify.
\[4\]