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Square Roots

Mike McGarry
Lesson by Mike McGarry
Magoosh Expert
Summary
The content provides an in-depth exploration of square roots, their notation, and their application in solving equations, particularly in the context of the GMAT exam.
  • Square roots offer a method to discuss solutions for equations where the square of a variable does not equal a perfect square, a common scenario in mathematics.
  • The radical sign indicates the positive root only, but when solving equations that result in a squared variable, both positive and negative roots must be considered.
  • Understanding the properties of square roots, including their behavior with positive and negative numbers, and their relationship with exponential growth, is crucial.
  • The content emphasizes the importance of recognizing and simplifying square roots of perfect squares and provides guidance on approximating square roots of non-perfect squares.
  • Key approximations for square roots and the principle that square roots preserve the order of inequality are highlighted as essential for solving GMAT problems.
Chapters
00:00
Understanding Square Roots
01:52
Positive and Negative Roots
11:40
Square Roots and Exponential Growth
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