Question

simplify. $sqrt{48} \times 4sqrt{12}$

Explanation:

Step1: Simplify each square root

$\sqrt{48} = \sqrt{16 \times 3} = 4\sqrt{3}$, $\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}$

Step2: Substitute back into expression

$4\sqrt{3} \times 4 \times 2\sqrt{3}$

Step3: Multiply coefficients and radicals

$4 \times 4 \times 2 \times (\sqrt{3} \times \sqrt{3}) = 32 \times 3$

Step4: Calculate final product

$32 \times 3 = 96$

Answer:

96