1. 1) Solve: x2 + x – 30 = 0
( x + 6 )( x – 5 ) = 0
x + 6 = or x – 5 = 0
x = – 6
x = 5
2) Solve: x x = 0
x( x + 9 ) = 0
x = or x + 9 = 0
x = 0
x = – 9

2. Simplifying Radicals

3. A perfect square is a number that results from squaring the counting numbers.
When you square a number, it is raised to the second power.
12 = 1 , 22 = 4 , 32 = 9 , 42 = 16 ,
52 = 25 , 62 = 36 , 72 = 49 , …
Perfect Squares: 1 , 4 , 9 , 16 , 25 , 36 ,
49 , 64 , 81 , 100 , …

4. A Square Root Symbol
is called a square root or radical symbol.
means “ the square root of x”
or “radical x”
By definition:
= k such that k2 = x
= 6 because 62 = 36
= 8 because 82 = 64

5. Some radicals will not simplify to a whole number.
When this happens, we still may be able to simplify the radical.
To simplify a radical, rewrite the radical as a product of its largest perfect square factor and the remaining factor. Simplify the perfect square radical and leave the other radical alone.
where a is the largest square factor of x

6. 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 , …
Simplify the following radicals.

7. Simplify the following radicals.
Try This:
1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 , …
Simplify the following radicals.