Question

go step by step to reduce the radical.
\sqrt{243}
\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 243. $243 = 81 \times 3$, where 81 is a perfect square.
$\sqrt{243} = \sqrt{81 \times 3}$

Step2: Split radical using product rule

Use $\sqrt{ab} = \sqrt{a} \times \sqrt{b}$ for non-negative $a,b$.
$\sqrt{81 \times 3} = \sqrt{81} \times \sqrt{3}$

Answer:

$\sqrt{81}$ $\sqrt{3}$