Respuesta :

For this case we must simplify the following expression:

[tex]\frac {\sqrt {120}} {\sqrt {30}}[/tex]

We know that:[tex]120 = 30 * 4 = 30 * 2 ^ 2[/tex]

By definition of power properties we have to:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Rewriting the given expression we have:

[tex]\frac {\sqrt {2 ^ 2 * 30}} {\sqrt {30}} =\\\frac {2 \sqrt {30}} {\sqrt {30}} = 2[/tex]

Answer:

Option A