( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + )

Simplify the following.

( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – )

1) – 54 ÷ ( – 9 ) = 6

2) – 48 ÷ 6 = – 8

3) 81 ÷ ( – 9 ) = – 9

4) – 144 ÷ ( – 12 ) = 12

5) – 6 ÷ ( – 8 ) = 3 / 4

0.09

SquareRoots

A perfect square number is a number that results from squaring

the counting numbers.

When you square a number you raise that number to the second power.

12 = 1 , 22 = 4 , 32 = 9 , 42 = 16 , …

Perfect Squares: 1 , 4 , 9 , 16 , 25 , 36 ,

49 , 64 , 81 , 100 , 121 , 144 , 169 , …

A Square Root Symbol

means “ the square root of x“

By definition

= k

such that k2 = x

= 6 because 62 = 36

= 8 because 82 = 64

36

64

x

x

When taking the square root of a perfect square, the answer will be a positive integer.

= 5

= 10

Some numbers are not perfect squares, we can approximate the square root by determining what two numbers the square root lies between.

is between 4 and 5

is between 7 and 8

is between 9 and 10

25

100

20

56

88

Try This:

= 7

= 12

Find the 2 numbers that the following square root lies between.

is between 4 and 5

is between 8 and 9

is between 6 and 7

49

144

19

68

39