Multiple Choice
Simplify the following.
11. Roots, Radicals, and Complex Numbers
Introduction to Radical Expressions
Multiple Choice
Determine if the given square root evaluates to a real number.
A
Real
B
Not Real
C
Cannot be determined.
Verified step by step guidance1
Identify the expression given: \(-\sqrt{4}\), which means the negative of the square root of 4.
Recall that the square root function \(\sqrt{x}\) returns the principal (non-negative) square root of \(x\) when \(x\) is non-negative.
Calculate \(\sqrt{4}\), which is the number that when squared gives 4. Since 2 squared is 4, \(\sqrt{4} = 2\).
Apply the negative sign outside the square root: \(-\sqrt{4} = -2\).
Since \(-2\) is a real number, conclude that the expression evaluates to a real number.
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