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Lesson: Challenging Arithmetic - 24

Introducing Roots of numbers

[Page 24 of 30]

A square root is the number that, when squared, produces the number under the radical sign.

Video - Finding Square Root

A square root is indicated by the radical sign (that little bar with a check on it).

For example:

, since 22 = 4

But note: The square root symbol refers to the positive root only. In other words:

If , then x equals 5 or - 5.

But equals 5 only.

You may also see a cube root on your standardized test, indicated by . Not surprisingly, a cube root is the number that, when cubed, produces the number under the radical sign.

For example:

, since (-3) (-3) (-3) = (-27)

(Note that cube roots retain the same sign as their base numbers.)

Roots can also be expressed as fractional exponents. For example:

Radical Sign

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Test Prep Lessons With Video Lessons and Explained MCQ

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Each exam has different types of math sections. The sections may be called Mathematics or Arithmetic Problem Solving. In the math section of the exam, you will be tested on basic math skills such as addition, subtraction, multiplication, and division. Some sections may include fractions, decimals, graphs and percentages. All questions will be a multiple choice format. The amount of math questions on each test will vary.

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