Question

go step by step to reduce the radical.
\sqrt{48}
\sqrt{\square} \sqrt{\square}

Explanation:

Step1: Factor 48 into perfect square

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

Step2: Split radical using product rule

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

Step3: Simplify perfect square radical

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

Answer:

The filled blanks are $\boldsymbol{\sqrt{16}}$ and $\boldsymbol{\sqrt{3}}$, and the simplified radical is $4\sqrt{3}$