Question

question
go step by step to reduce the radical.
\\(sqrt{243}\\)
\\(sqrt{square}sqrt{square}\\)

Explanation:

Step1: Factor out perfect square

$\sqrt{243} = \sqrt{81 \times 3}$

Step2: Split radical using product rule

$\sqrt{81 \times 3} = \sqrt{81} \times \sqrt{3}$

Step3: Simplify perfect square root

$\sqrt{81} = 9$

Answer:

$\sqrt{243} = 9\sqrt{3}$
(The filled blanks are $\sqrt{81}$ and $\sqrt{3}$)