Question

22 true/false. the equation represents the simplified square root for the following non - perfect square. drag your answer into the green answer space. $2\sqrt{50} = 10\sqrt{2}$ true false drag answer here! submit give up previous skip overview save card

Explanation:

Step1: Simplificar $\sqrt{50}$

Factorizar 50: $50 = 25 \times 2$. Entonces, $\sqrt{50} = \sqrt{25 \times 2}$.
Usar la propiedad $\sqrt{ab} = \sqrt{a} \times \sqrt{b}$ (con $a = 25$, $b = 2$): $\sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2}$.

Step2: Multiplicar por 2

El término original es $2\sqrt{50}$. Sustituir $\sqrt{50}$ por $5\sqrt{2}$: $2 \times 5\sqrt{2} = 10\sqrt{2}$.

Step3: Comparar con el lado derecho

El lado derecho de la ecuación es $10\sqrt{2}$. Como $2\sqrt{50}$ simplifica a $10\sqrt{2}$, la ecuación es verdadera.

Answer:

TRUE