Question

simplify: $sqrt{5} cdot sqrt{10}$

Explanation:

Step1: Combinar raíces

$\sqrt{5} \cdot \sqrt{10} = \sqrt{5 \times 10}$

Step2: Calcular producto dentro de la raíz

$\sqrt{5 \times 10} = \sqrt{50}$

Step3: Descomponer el radicando

$\sqrt{50} = \sqrt{25 \times 2}$

Step4: Separar raíces y simplificar

$\sqrt{25 \times 2} = \sqrt{25} \cdot \sqrt{2} = 5\sqrt{2}$

Answer:

$5\sqrt{2}$