Question

$$\sqrt{ 96 } \times (- \sqrt{ 20 } )$$

Answer

-8*sqrt(30)

Solution


Simplify  \(\sqrt{96}\)  to  \(4\sqrt{6}\).
\[4\sqrt{6}\times -\sqrt{20}\]
Simplify  \(\sqrt{20}\)  to  \(2\sqrt{5}\).
\[4\sqrt{6}\times -2\sqrt{5}\]
Simplify.
\[-4\times 2\sqrt{6\times 5}\]
Simplify  \(6\times 5\)  to  \(30\).
\[-4\times 2\sqrt{30}\]
Simplify  \(4\times 2\sqrt{30}\)  to  \(8\sqrt{30}\).
\[-8\sqrt{30}\]

Decimal Form: -43.817805