Question

simplificar.
\sqrt{50v^4}
supongamos que la variable v representa un número real positivo.

Explanation:

Step1: Factor 50 into squares

$\sqrt{50v^4} = \sqrt{25 \times 2 \times v^4}$

Step2: Split the square root

$\sqrt{25} \times \sqrt{2} \times \sqrt{v^4}$

Step3: Simplify each square root

$\sqrt{25}=5$, $\sqrt{v^4}=v^2$

Answer:

$5v^2\sqrt{2}$