Find the Absolute Value of the Complex Number -3 $2 \sqrt { 2 }$

question 25

Multiple Choice

Find the absolute value of the complex number -3 + 5i.

• A) \(2 \sqrt { 2 }\)
• B)​ \(4 \sqrt { 34 }\)
• C)​34
• D)​ \(\sqrt { 34 }\)
• E)​ \(4 \sqrt { 2 }\)

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Definitions:

Square Root

A square root of a number is a value that, when multiplied by itself, gives the original number, symbolized as √.

Radical Equation

An equation in which the variable is contained inside a radical, often a square root.

Square Root

A number that, once squared, equals the number it originated from.

Pythagorean Theorem

A mathematical principle that establishes a relationship between the lengths of the sides of a right triangle, stating that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.