Scelta multipla
Simplify the root.
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11. Roots, Radicals, and Complex Numbers
Introduction to Radical Expressions
Scelta multipla
Simplify the following.
A
B
C
D
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Identify the expression to simplify: \(^3\sqrt{(-5)^3}\). This means the cube root of \((-5)^3\).
Recall that the cube root and the cube power are inverse operations. So, \(^3\sqrt{a^3} = a\) for any real number \(a\).
Apply this property to the expression: \(^3\sqrt{(-5)^3} = -5\).
Since the cube root of \((-5)^3\) simplifies directly to \(-5\), no further simplification is needed.
Therefore, the simplified form of the expression is \(-5\).
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