G8

Copyright © Swun Math Grade 8 Unit 1 Lesson 6 C TE

Structured Guided Practice

(A/B Partners Practice)

Directions: Determine if the expression is a perfect square. If not, determine the two perfect

squares that the square root lies between.

1. 
   

   (^) √ 9
   Solution:
   32 = 3⋅3 = 9, therefore
   √^9 =√^3 ⋅^3 = 3^
   When creating a perfect square with an area of 9, the measurement of the length needs to be 3 and
   the measurement of the width needs to be 3.

   
   


2. 
   

   √ 5

   
   

Solution:

5 is not a perfect square and this can be proved since a square cannot be built with an area of 5.

Since √ 5 is not a perfect square, the answer √ 5 lies between 2 and 3.

• 1 0 1 2 3 4 5 6 7 8 9 10 11 12
  roots

squares

4 5 9