Use the Quotient Rule to Simplify Square Roots
-The Time $\mathrm { d }$

Use the Quotient Rule to Simplify Square Roots
-The time, in seconds, that it takes an object to fall a distance $\mathrm { d }$ , in feet, is given by the algebraic expression $\sqrt { \frac { \mathrm { d } } { 16 } }$ . Find how long it will take a ball dropped from the top of a building 83 feet tall to hit the ground. Write the answer in simplified radical form.

A) $\frac { \sqrt { 83 } } { 4 }$ seconds
B) $\frac { 9 \sqrt { 2 } } { 4 }$ seconds
C) $\frac { \sqrt { 83 } } { 16 }$ seconds
D) $\frac { 9 + \sqrt { 2 } } { 4 }$ seconds