Download Complete the Table

Complete the Table
Number
Factors
18
1, 2, 3, 6, 9, 18
1, 2, 3, 4, 6, 8, 12, 24
48
242
99
36
52
1,2, 11,22, 121, 242
Square Roots
Square Roots
• Remember what square roots mean.
– What number squared (2) will produce this
number?
– The inverse of squaring a number.
• Numbers inside of square roots can be
multiplied.
x  y  xy
x  y  xy
• This means that a square root can be
divided into two separate square roots with
two of its factors.
ab  a  b
• So what if one of those factors is a perfect
square?
Find the Perfect Squares
Number
Factors
18
1, 2, 3, 6, 9, 18
24
1, 2, 3, 4, 6, 8, 12, 24
48
1, 2, 3, 4, 6, 8, 12, 16, 24,48
242
1,2, 11,22, 121, 242
99
1, 3, 9, 11, 33, 99
36
1, 2, 3, 4, 6, 9, 12, 18, 36
52
1, 2, 4, 13, 26, 52
Separate the Square Root
Square Root
Simplified
18
9 2
24
48
4 6
16  3
242
99
36
121  2
9  11
52
4 9
4  13
Separate the Square Root
Square Root
Simplified
18
3 2
24
48
2 6
4 3
242
99
36
11 2
3 11
2 3
2 13
52
Square Roots
Some problems may have a solution that is
the square root of a number that is not a
perfect square. In this case you will
simplify the square root using the process
we just used. Further simplification or
computation is not necessary in these
cases.
PRACTICE!
x 4
7
8
2x  1
 13
3
7x  4
 61
2
3x  7
 22
4
2
2
2
2