Download Squares and Square Roots Journal

Squares and Square Roots Journal
Notes: x2 = x * x
Examples: 52 = 5 * 5 = 25
1.52 = 1.5 * 1.5 = 2.25
Note: √25 = 5
√25 means “what number multiplied by itself gives me 25”
Example: √0.04 = 0.2
1. Show all steps for each question:
a) 0.62 =
b) 132 =
c) 1.92 =
d) 14.52 =
e) 202 =
f) 1002 =
g) 1012 =
h) 192 =
i) 0.42 =
j) 16.752 =
2. (calculator use permitted)
a) 172 + 152=
b) (17+15)2 =
c) 0.92 + 0.52=
d) (0.9+0.5)2 =
e) 2.52 + 3.12=
f) (2.5+3.1)2 =
g) 12 + 22=
h) (1+2)2 =
3. Look at your answers for question 2. Is a2 + b2= (a + b)2? Why or why not?
4. a) 142=
b) 0.142 =
c) 0.92=
b) 92 =
5. Look at your answers for question 4. If you square a number, does it always get
larger? Explain.
6. a) -1.52=
b) (-1.5)2 =
c) -22=
d) (-2)2 =
7. Look at question 6. Why are the answers different?
8. a) 42=
b) (-4)2 =
c) 142=
b) (-14)2 =
9. Look at question 8. Why are the answers the same?
10. a) √100 =
b) √81 =
c) √64 =
d) √49 =
e) √36 =
f) √25 =
g) √16 =
h) √9
i) √4 =
j) √1 =
11. Use your calculator to find an answer to the following:
a) √-5 =
b) √-12 =
c) √-100 =
12. What do you notice about the answers to question 11? Why do you think this is?
13. a) √(3/4) =
b) √(1/9) =
c) √0.1 =
d) √15.1 =
14. What kinds of numbers can you take the square root of? (circle all that are correct)
a) positive numbers
b) negative numbers
c) fractions
d) decimals
e) zero