NAME:
What:
Why:
NOTES
DATE: ______/_______/_______
Square numbers and square roots
To examine the perfect square numbers up to 400 and to find the square
root of both perfect and non-perfect square numbers.
This square represents which perfect
square #?
The square root of this square is __________
because it is a 3 x 3 square.
Perfect Square
Square Roots:
Square Roots:
#’s:
1² = _____
2² = _____
3² = _____
4² = _____
5² = _____
6² = _____
7² = _____
8² = _____
9² = _____
10² = _____
11² = _____
12² = _____
13² = _____
14² = _____
15² = _____
16² = _____
17² = _____
18² = _____
19² = _____
20² = _____
EXAMPLES:
1.
√49 = _____ AND _____
3. √ 81 = _____ AND _____
2. √144 = _____ AND _____
4. √ 169 = _____ AND _____
NEGATIVE ROOT EXAMPLES:
1.
- √36 = _____
2. - √225 = _____
3. - √ 81 = _____
4. - √64 = _____
NON-PERFECT SQUARE # EXAMPLES:
Between which two consecutive whole numbers do the following #’s fall between?
1.
√15 lies between _____ and _____.
2.
√45 lies between _____ and _____.
3.
√110 lies between _____ and _____.
4.
√230 lies between _____ and _____.
What if a NEGATIVE symbol occurs on the INSIDE of the square root symbol??
1.
√-25 = _____
2.
√-100 = _____
So, a negative sign CAN be on the outside but ____________ be on the inside!!
“PRACTICE IT”
NAME:__________________________
DATE: ______/_______/_______
Square #’s and Square roots:
Find the square root of the following numbers:
1.
9 = __________
2.
81 = __________
3.
121 = __________
4.
49 = __________
5.
400 = __________
6.
225 = __________
Find the square root of the following numbers (could be positive root OR negative root):
7. -
36 = __________
8. - 144 = __________
9.
196 = __________
10 .
16 = __________
11. - 64 = __________
12.
324 = __________
Between which two consecutive WHOLE numbers do the following #’s fall between?:
13.
14 lies between __________ and __________.
14.
88 lies between __________ and __________.
15. 130 lies between __________ and __________.
16.
32 lies between __________ and __________.
MISCELLANEOUS (If it is NOT a perfect square number, identify the two numbers that it falls
between):
17. - 4
20 .
= __________
54 = __________
18.
21.
169 = __________
8
= __________
19. - 100 = __________
22.
23. What makes # 22 (above) different from the others?
24. What perfect square # does the square to the right represent?
25 = __________