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

question 159

Multiple Choice

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

---

Definitions:

Authority Figure

An individual who holds power or influence, often in a specific context like a parent, teacher, or leader, which enables them to guide or control others.

Financial

Pertaining to money or how money is managed, including activities related to banking, investment, credit, and budgeting.

American Dream

The idea that people can achieve personal success, no matter their origin or socioeconomic status, in a society that enables upward mobility for all its members.

Poverty

A state of economic deprivation or lack of access to sufficient resources and services, such as food, housing, education, and healthcare.