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QUESTION IMAGE

express in simplest radical form. \\(\\sqrt{128}\\)

Question

express in simplest radical form. \\(\sqrt{128}\\)

Explanation:

Step1: Factor 128 into perfect square

$128 = 64 \times 2$

Step2: Split radical into product

$\sqrt{128} = \sqrt{64 \times 2} = \sqrt{64} \times \sqrt{2}$

Step3: Simplify perfect square root

$\sqrt{64} = 8$, so $8 \times \sqrt{2}$

Answer:

$8\sqrt{2}$