Question

1. express $-3sqrt{48}$ in simplest radical form.

Explanation:

Step1: Factor 48 into perfect square

$\sqrt{48} = \sqrt{16 \times 3}$

Step2: Split the radical product

$\sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3}$

Step3: Simplify $\sqrt{16}$

$\sqrt{16} = 4$, so $\sqrt{48} = 4\sqrt{3}$

Step4: Multiply by the coefficient

$-3 \times 4\sqrt{3} = -12\sqrt{3}$

Answer:

$-12\sqrt{3}$