Question

question
what is the product of 10 and $6\sqrt{96}$ in simplest radical form?

Explanation:

Step1: Multiply the coefficients

$10 \times 6\sqrt{96} = 60\sqrt{96}$

Step2: Simplify the radical

Factor 96 into perfect square and remaining factor: $\sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6}$

Step3: Multiply with coefficient

$60 \times 4\sqrt{6} = 240\sqrt{6}$

Answer:

$240\sqrt{6}$