Find the Following Products and Express Answers in Simplest Radical $320 \sqrt { 13 } - 4,940 \sqrt { 2 }$

question 152

Multiple Choice

Find the following products and express answers in simplest radical form. All variables represent non negative real numbers. Match each of the expressions with the expression to obtain a true statement.
- $320 \sqrt { 13 } - 4,940 \sqrt { 2 }$

• A) \(8 \sqrt { 19 } ( 2 \sqrt { 2 } - \sqrt { 17 } )\)
• B) \(10 \sqrt { 13 } ( 2 \sqrt { 19 } - 8 \sqrt { 17 } )\)
• C) \(10 \sqrt { 26 } ( 8 \sqrt { 8 } - 19 \sqrt { 52 } )\)
• D) \(- 4 \sqrt { 19 } ( 10 \sqrt { 19 } + 4 \sqrt { 52 } )\)
• E) \(- 10 \sqrt { 13 } ( 8 \sqrt { 52 } - 8 \sqrt { 8 } )\)

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Definitions:

Constructor Invocation

The process of creating an instance of a class by calling its constructor, which initializes the new object.

Derived Class

A derived class, also known as a subclass, in object-oriented programming, is a class that inherits properties and behaviors from another class called the base class.

Base Class

The class from which other classes are derived, also known as a parent or super class.

Instance Variables

Variables declared within a class for which each instantiated object of the class has its own separate copy, or instance.