For this case we must simplify the following expression:
[tex]\sqrt {\frac {2160x ^ 8} {60x ^ 2}}[/tex]
We rewrite the expression:
[tex]\sqrt {\frac {60 * 36 * x ^ 8} {60x ^ 2}} =[/tex]
We eliminate common terms:
[tex]\sqrt {\frac {36 * x ^ 8} {x ^ 2}} =[/tex]
For division of powers of the same base, the same base is placed and the exponents are subtracted:
[tex]\sqrt {36x ^ {8-2}} =\\\sqrt {36x ^ {6}} =[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]6x ^ {\frac {6} {2}} =\\6x ^ 3[/tex]
Answer:
Option C
