Simplifying Square Roots
Vocabulary:
radical symbol -
radicand - the number or expression under the radical symbol
principal root – the positive square root of a number
To indicate both the positive and negative square roots of a number, use
the plus or minus sign (±).
Irrational Numbers - Square roots of integers that are not perfect squares
First 15 Perfect Squares:
Notes:
The property can be used to:
combine quantities under the radical symbol
separate them for the purpose of simplifying square-root expressions
A square root expression is in simplest form when the radicand has no
perfect-square factors (except 1)
or –5
5 3 2
11
42
93
16 4
25 5
225 15
100 10
81 9
196 14
64 8
49 7
169 13
144 12
121 11
36 6
