Name: ___________________________________________ Date: _________________
Unit 1: Real Numbers, Exponents, and Scientific Notation
8th Grade Math
Unit 1, Module 1 – Real Numbers
Main Idea: Finding Square Roots
Objective – By the end of class I will square numbers and find square roots.
A. Let’s practice squaring numbers.
2 2
2. ( 3 ) = ____
2
1. 7 = ____
B. Find the area of the squares shown below.
3
Area = __________
3. 0.22 = ____
5
Area = __________
C. What is the area of a square that has a side length of 7? __________
D. What is the area of a square that has a side length of x? __________
E. What is the side length of a square whose area is 81? __________
F. Every POSITIVE number has a square root, not just perfect squares. Take out your
calculator and calculate the following square roots. Round to the nearest hundredth.
1. √22 = ____
2. √13 = ____
3. √44 = ____
G. If the square root of a number is an INTEGER, that number is a perfect square. (ex. Since
√81 = 9, 81 is a perfect square.) The examples above are NOT perfect squares, and their
square roots are IRRATIONAL numbers.
H. Remember, rational numbers can be written as fractions. Irrational numbers cannot.
I. If you’re taking the square root of a fraction, take the square root of the numerator and
denominator separately.
Example: √36 =
49
J. Let’s look at some of the examples from yesterday and some new ones.
1 2
1. ( ) = ____
4
1
2. √ =
16 ____
9
3. √ =
49 ____
4. √
3 2
5. ( ) = ____
5
5 2
6. ( ) = ____
11
7. √121 = ____
8. 132 = ____
𝑑𝑑𝑑𝑑
144
25
= ____