Question

express \\(\sqrt{160} / 2\\) in simplest radical form.

a \\(4\sqrt{5}\\)
b \\(5\sqrt{4}\\)
c \\(2\sqrt{10}\\)
d \\(8\sqrt{2}\\)

Explanation:

Simplificar el radical del numerador

$$ \sqrt{160} = \sqrt{16 \times 10} = \sqrt{16} \times \sqrt{10} = 4\sqrt{10} $$

Dividir por el denominador

$$ \frac{\sqrt{160}}{2} = \frac{4\sqrt{10}}{2} = 2\sqrt{10} $$

Identificar la opción correcta

$$ 2\sqrt{10} \implies \text{Opción C} $$

Answer:

• (A) \(4\sqrt{5}\)
• (B) \(5\sqrt{4}\)
• (C) \(2\sqrt{10}\) (Correct answer)
• (D) \(8\sqrt{2}\)