Question

Evaluate each radical expression if it is a real number. If the expression is not a real number, so state. $\sqrt{6.25}$

Name: Problem 29, Chapter 7: Intermediate Algebra for College Students
Uploaded: 2020-04-03T12:15:44-08:00
Duration: 38 s
Channel: Tony Ni
Description: Evaluate each radical expression if it is a real number. If the expression is not a real number, so state. √(6.25)

   Evaluate each radical expression if it is a real number. If the expression is not a real number, so state.
$\sqrt{6.25}$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 7, Problem 29

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Solved by Expert Tony Ni

04/03/2020

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Evaluate each radical expression if it is a real number. If the expression is not a real number, so state. $\sqrt{6.25}$

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Key Concepts

Radical Expression

A radical expression involves roots, such as square roots or cube roots, and requires that the expression under the radical sign (the radicand) is within the domain for which the radical is defined. For even-index radicals like the square root, the radicand must be non-negative in the realm of real numbers.

Real Numbers

Real numbers constitute all the numbers that can be found on the number line, including both rational and irrational numbers. When dealing with radical expressions, it is important to ensure that the computed value falls within the set of real numbers, which is guaranteed for square roots when their radicands are non-negative.

Square Root

A square root of a number is the non-negative value that, when multiplied by itself, results in the original number. In the context of real numbers, the square root function is specifically defined for non-negative inputs, yielding what is known as the principal square root.

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