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Introduction to Radicals

Source: Square Root Expressions - kaisersosa67/iStock/Getty Images

Radicals

A woman stands in front of a blackboard with several radical expressions written on it.

Source: Woman Infront of Blackboard - Todor Tsvetkov/iStock/Getty Images

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Lesson Goals

  • Simplify and order radicals involving integers and rational numbers.
  • Use technology to estimate the value of a radical.
  • Recognize the difference between exact and approximate values.

Try This

To measure voltage \(V\) (measured in volts), electrical engineers might use the following formula:

\[V=\sqrt{PR}\]

where \(P\) is power (measured in watts) and \(R\) is resistance (measured in ohms).

A voltmeter.

Source: Voltmeter - underworld111/iStock/Getty Images

  1. What is the approximate voltage if the power is \(1.3\) watts and the resistance is \(5\) ohms?
  2. What is the exact voltage if the power is \(450\) watts and the resistance is \(30\) ohms?