Question

$$\sqrt{ 48 \times 8 \times 24 \times 16METE { R }^{ 2 } }$$

Answer

384*METER

Solution


Simplify  \(48\times 8\times 24\times 16{METER}^{2}\)  to  \(147456{METER}^{2}\).
\[\sqrt{147456{METER}^{2}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[\sqrt{147456}\sqrt{{METER}^{2}}\]
Since \(384\times 384=147456\), the square root of \(147456\) is \(384\).
\[384\sqrt{{METER}^{2}}\]
Simplify  \(\sqrt{{METER}^{2}}\)  to  \(METER\).
\[384METER\]