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Square Roots

The content provides an in-depth exploration of square roots, focusing on their properties, how they relate to equations, and their implications for solving GRE math problems.
  • Square roots and their notation are essential for discussing situations where the square of a variable is not a perfect square.
  • The radical sign indicates the positive root only, but both positive and negative roots must be considered when solving equations that involve squaring and square roots.
  • Understanding the properties of square roots, including how they interact with positive and negative numbers, is crucial for solving a variety of math problems on the GRE.
  • The content also covers how square roots relate to exponential growth, with specific rules for bases greater than 1 and those between 0 and 1.
  • Practical advice is offered on handling square roots in equations, including when to consider both positive and negative roots, and how to approximate square roots of non-perfect squares.
Understanding Square Roots
Positive and Negative Roots
Square Roots and Exponential Growth

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