For this case we have the following expression:
[tex]\sqrt {50x ^ 3}[/tex]
We can write it as:
[tex]\sqrt {25 * 2 * x * x * x}\\\sqrt {25 * 2 * x ^ 2 * x}[/tex]
We know that:
[tex]\sqrt {25} = 5[/tex]
By power properties we have:
[tex]\sqrt {x ^ 2} = x ^ {\frac {2} {2}} = x ^ 1 = x[/tex]
So simplifying we have:
[tex]5x \sqrt {2x}[/tex]
Answer:
[tex]5x \sqrt {2x}[/tex]
