Question

go step by step to reduce the radical. \\(sqrt{200}\\) \\(sqrt{square} sqrt{square}\\)

Explanation:

Step1: Factor into perfect square & remainder

$\sqrt{200} = \sqrt{100 \times 2}$

Step2: Split radical using product rule

$\sqrt{100} \times \sqrt{2}$

Step3: Simplify perfect square root

$10 \times \sqrt{2}$

Answer:

$\sqrt{100}\sqrt{2}$ (or simplified fully as $10\sqrt{2}$)