Question

question
go step by step to reduce the radical.
\\(\sqrt{176}\\)
\\(\sqrt{\square}\sqrt{\square}\\)

Explanation:

Step1: Factor out perfect square

Find the largest perfect square factor of 176. The largest perfect square that divides 176 is 16, since $16 \times 11 = 176$.
$\sqrt{176} = \sqrt{16 \times 11}$

Step2: Split the radical

Use the property $\sqrt{ab} = \sqrt{a} \times \sqrt{b}$ for non-negative $a,b$.
$\sqrt{16 \times 11} = \sqrt{16} \times \sqrt{11}$

Answer:

$\sqrt{16} \sqrt{11}$ (or simplified further to $4\sqrt{11}$, filling the blanks with 16 and 11 respectively)