Horizons Math Sampler - Odyssey Academy
Horizons Math Sampler - Odyssey Academy
Horizons Math Sampler - Odyssey Academy
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<strong>Horizons</strong> <strong>Math</strong> 6 SAMPLE<br />
Lesson 45<br />
Square Roots<br />
When a number has an exponent of 2, that number is said to be “squared.”<br />
For example, 12 2 can also be written 12 x 12. 12 x 12 = 144. 4 2 can also be<br />
written 4 x 4. 9 2 can also be written 9 x 9. These numbers are perfect squares<br />
because they can be illustrated as shown below.<br />
12 x 12 = 144 4 x 4 = 16 9 x 9 = 81<br />
Suppose you were given the number 144 and asked which number multiplied by<br />
itself equals 144? Your answer would be 12, because 12 2 = 144. Therefore, 12 is<br />
the square root of 144. What would be the square root of 16? 4 would be the<br />
square root of 16. What would be the square root of 81? 9 would be the square<br />
root of 81.<br />
To find the square root of a given number, you have to make an educated guess<br />
based on your knowledge of the multiplication tables. Suppose you are given<br />
the number 64. Think through your multiplication tables. Which number,<br />
multiplied by itself, will yield an answer close to 64? 7 x 7 = 49, so it must be a<br />
number larger than 7. 10 x 10 is 100, so it must be a number lower than 10.<br />
8 x 8 = 64, so 8 2 = 64.<br />
1<br />
Complete the table. The first one is done for you.<br />
Number<br />
121<br />
196<br />
25<br />
225<br />
Square Root<br />
11<br />
23<br />
4<br />
Multiplication<br />
Problem<br />
11 x 11 = 121 or 11 2<br />
55