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ZingPath: Numeracy

Estimating the Square Root of Non-Perfect Squares

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Lesson Focus

Estimating the Square Root of Non-Perfect Squares


Learning Made Easy

You will estimate the square roots of non-perfect squares by determining the square roots of the nearest perfect squares (in order to find the appropriate frames for paintings in an art exhibit).

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Distinguish between perfect squares and non-perfect squares.
  • Determine consecutive whole numbers such that the square root of a non-perfect square lies between them.
  • Estimate the square root of non-perfect squares.

Everything You'll Have Covered

Perfect squares

A number p is called a perfect square if and only if there exists a whole number n for which 

p = n2.

Take the whole numbers and square them:

02 = 0

12 = 1

22 = 4

32 = 9

and so on.

The resulting numbers  0, 1, 4, 9, 16, 25, 36 ... are called perfect squares.

Perfect squares can be represented pictorially by:

Tutorial Details

Approximate Time 20 Minutes
Pre-requisite Concepts Students should know the definitions of the area of a square, inverse operations, perfect squares, and square roots.
Course Algebra-1
Type of Tutorial Skills Application
Key Vocabulary estimation, non-perfect squares, perfect squares