Question

which number is equivalent to 6√12 · 5√9? use the drag and drop feature to create your answer.

Explanation:

Step1: Simplificar raíces

Simplificamos $\sqrt{12}=\sqrt{4\times3}=2\sqrt{3}$ y $\sqrt{9} = 3$.
Entonces $6\sqrt{12}-5\sqrt{9}=6\times2\sqrt{3}-5\times3$.

Step2: Realizar multiplicaciones

$6\times2\sqrt{3}-5\times3 = 12\sqrt{3}-15$.
No coincide con el formato de la pregunta. Vamos a multiplicar directamente:
$6\sqrt{12}\times5\sqrt{9}=6\times5\times\sqrt{12\times9}=30\times\sqrt{108}$.

Answer:

$30\sqrt{108}$