Question

$$\sqrt{3\times}\sqrt{5}\times\sqrt{12}$$

Answer

6*sqrt(5)

Solution


Simplify  \(\sqrt{12}\)  to  \(2\sqrt{3}\).
\[\sqrt{3}\sqrt{5}\times 2\sqrt{3}\]
Simplify.
\[2\sqrt{3\times 5\times 3}\]
Simplify  \(3\times 5\)  to  \(15\).
\[2\sqrt{15\times 3}\]
Simplify  \(15\times 3\)  to  \(45\).
\[2\sqrt{45}\]
Simplify  \(\sqrt{45}\)  to  \(3\sqrt{5}\).
\[2\times 3\sqrt{5}\]
Simplify.
\[6\sqrt{5}\]

Decimal Form: 13.416408