Question

1 equivalent radicals: sort the expressions into the correct column in the chart. equivalent to 10√5 equivalent to 5√10 equivalent to 10√10 drag & drop the answer 2√250 5√2·√5 √50·√10 10√(25/5) √10·√10·√10 note: use ctrl+d to drag the option via keyboard

Explanation:

Explicación:

Paso 1: Simplificar $2\sqrt{250}$

$2\sqrt{25\times10}=2\times5\sqrt{10} = 10\sqrt{10}$

Paso 2: Simplificar $5\sqrt{2}\cdot\sqrt{5}$

$5\sqrt{2\times5}=5\sqrt{10}$

Paso 3: Simplificar $\sqrt{50}\cdot\sqrt{10}$

$\sqrt{50\times10}=\sqrt{500}=\sqrt{100\times5}=10\sqrt{5}$

Paso 4: Simplificar $10\sqrt{\frac{25}{5}}$

$10\sqrt{5}$

Paso 5: Simplificar $\sqrt{10}\cdot\sqrt{10}\cdot\sqrt{10}$

$10\sqrt{10}$

Respuesta:

• Equivalente a $10\sqrt{5}$: $\sqrt{50}\cdot\sqrt{10}$, $10\sqrt{\frac{25}{5}}$
• Equivalente a $5\sqrt{10}$: $5\sqrt{2}\cdot\sqrt{5}$
• Equivalente a $10\sqrt{10}$: $2\sqrt{250}$, $\sqrt{10}\cdot\sqrt{10}\cdot\sqrt{10}$

Answer:

Explicación:

Paso 1: Simplificar $2\sqrt{250}$

$2\sqrt{25\times10}=2\times5\sqrt{10} = 10\sqrt{10}$

Paso 2: Simplificar $5\sqrt{2}\cdot\sqrt{5}$

$5\sqrt{2\times5}=5\sqrt{10}$

Paso 3: Simplificar $\sqrt{50}\cdot\sqrt{10}$

$\sqrt{50\times10}=\sqrt{500}=\sqrt{100\times5}=10\sqrt{5}$

Paso 4: Simplificar $10\sqrt{\frac{25}{5}}$

$10\sqrt{5}$

Paso 5: Simplificar $\sqrt{10}\cdot\sqrt{10}\cdot\sqrt{10}$

$10\sqrt{10}$

Respuesta:

• Equivalente a $10\sqrt{5}$: $\sqrt{50}\cdot\sqrt{10}$, $10\sqrt{\frac{25}{5}}$
• Equivalente a $5\sqrt{10}$: $5\sqrt{2}\cdot\sqrt{5}$
• Equivalente a $10\sqrt{10}$: $2\sqrt{250}$, $\sqrt{10}\cdot\sqrt{10}\cdot\sqrt{10}$