Scelta multipla
Use a calculator to evaluate the following and round to the nearest hundredths.
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11. Roots, Radicals, and Complex Numbers
Introduction to Radical Expressions
Scelta multipla
Simplify the following.
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Guida verificata passo dopo passo1
Recognize that the expression is a fourth root of a quantity raised to the fourth power: \(^4\sqrt{(2 - a)^4}\).
Recall the property of radicals and exponents: \(^n\sqrt{x^n} = |x|\) when \(n\) is even, because the root of an even power returns the absolute value of the base.
Apply this property to simplify \(^4\sqrt{(2 - a)^4}\) to \(|2 - a|\).
Understand that the absolute value ensures the result is non-negative regardless of whether \(2 - a\) is positive or negative.
Conclude that the simplified form of the original expression is \(|2 - a|\).
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