Question

go step by step to reduce the radical.\\(\sqrt{112}\\)\\(\sqrt{\square}\sqrt{\square}\\)try\
answer attempt 1 out of 2\
you must answer all questions above in order to submit.

Explanation:

Step1: Factor out perfect square

Find the largest perfect square factor of 112. The largest perfect square that divides 112 is 16, since $16 \times 7 = 112$.
$\sqrt{112} = \sqrt{16 \times 7}$

Step2: Split radical using product rule

Apply the radical product property $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$.
$\sqrt{16 \times 7} = \sqrt{16} \times \sqrt{7}$

Answer:

$\boldsymbol{\sqrt{16} \sqrt{7}}$ (or simplified fully as $4\sqrt{7}$, filling the boxes with 16 and 7 respectively)