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Algebra-1

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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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.

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:

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 |