Objective To simplify problems involving square roots and variables'

1
Objective- To simplify problems involving square
roots and variables.
Reals
Perfect Squares
0 1 4 9 16 25 36 49 64 81 100
Rationals
Irrationals
2
Where do perfect squares get their name?
Perfect Squares
0 1 4 9 16 25 36 49 64 81 100
3
Find the area of the square below.
Find the side of the square below.
7
2
A 16 un.
2
2
A s
A s
2
2
2
16 s
A 7 49 un.
S 4
4
Solve for x.
1)
x 10
2)
x 10 or -10
3)
A s2
x
100 x2
A
A 100 un2
x 10 or -10
x 10
5
is an irrational number and we will never
know its exact value.
However, 7
Square of Square Root Property
2
( ) n
Simplify the following
2
1) ( ) )
2)
3)
2
6
Warning for tests and quizzes!!!
If you try to use a calculator to solve
the problem below, you wont get the right answer.


(2.2360679)(2.2360679) 4.9999996
The correct method gives...
2
( ) 5
7
(No Transcript)
8
Review
Solve the following
2
1) x 100
2
2) y 19
2
3) x 43
9
Solve for x.
1)
x 8
2)
x 8 or -8
3)
A s2
x
62 x2
A
A 62 un2
x2 62