Use the Product Rule to Simplify Square Roots
-Racing Cyclists $4 \sqrt { x }$

Use the Product Rule to Simplify Square Roots
-Racing cyclists use the algebraic expression $4 \sqrt { x }$ to determine the maximum speed, in miles per hour, to turn a corner of radius $x$ , in feet, without tipping over. Find the maximum speed at which a cyclist should travel around a corner of radius 38 feet without tipping over. Write the answer in simplified radical form.

A) $4 \sqrt { 38 }$ miles per hour
B) $24 \sqrt { 2 }$ miles per hour
C) $24 + \sqrt { 2 }$ miles per hour
D) $\frac { 4 ( 6 + \sqrt { 2 } ) } { x }$ miles per hour