Question

simplificar.
\sqrt{49w^{6}}
suponer que la variable w representa un número real positivo.

Explanation:

Step1: Split root into product

$\sqrt{49w^6} = \sqrt{49} \times \sqrt{w^6}$

Step2: Simplify square root of 49

$\sqrt{49} = 7$

Step3: Simplify root of variable term

$\sqrt{w^6} = w^{6 \times \frac{1}{2}} = w^3$

Step4: Multiply the results

$7 \times w^3$

Answer:

$7w^3$