Question

$$10\sqrt{126\div2\sqrt{12}$$

Answer

30*sqrt(42)

Solution


Simplify  \(\sqrt{126}\)  to  \(3\sqrt{14}\).
\[10\times \frac{3\sqrt{14}}{2}\sqrt{12}\]
Simplify  \(\sqrt{12}\)  to  \(2\sqrt{3}\).
\[10\times \frac{3\sqrt{14}}{2}\times 2\sqrt{3}\]
Cancel \(2\).
\[10\times 3\sqrt{14}\sqrt{3}\]
Simplify.
\[10\times 3\sqrt{14\times 3}\]
Simplify  \(14\times 3\)  to  \(42\).
\[10\times 3\sqrt{42}\]
Simplify.
\[30\sqrt{42}\]

Decimal Form: 194.422221