Replace the Radical with the Nearest Whole Number and Estimate $$\frac { - 5 + \sqrt { 19 } } { 3 }$$

question 11

Multiple Choice

Replace the radical with the nearest whole number and estimate the value of the expression. Then use a calculator to approximate the value to three decimal places. $$\frac { - 5 + \sqrt { 19 } } { 3 }$$

• A) \(- \frac { 11 } { 3 } ; \quad - 0.547\)
• B) \(- \frac { 1 } { 3 } ; \quad - 0.214\)
• C) \(2 \quad 1.560\)
• D) \(\frac { 11 } { 3 } ; 1.560\)
• E) \(\frac { 1 } { 3 } ; 0.547\)

---

Definitions:

Base Type

The data type from which a particular type is derived, often used to refer to primitive data types in programming.

Fixed Size

Describes a data structure or container whose size cannot change after its creation, limiting the addition or removal of elements.

ArrayList Object

An object of a resizable array implementation class in programming, allowing for dynamic arrays that can grow as needed.

RemoveObject Method

Not a specific method; however, in many programming languages, methods exist to remove objects from a collection or data structure.