Pre-Calculus 11A
5.1: Radical Operations
________________ value is the ________________ of a point or number from the _________
(zero point) of a number line or coordinate system.
The absolute value of c is written as __________
The |c| is defined algebraically as:
Examples:
Pre-Calculus 11A
5.1: Radical Operations
The word "_________" means root. _________ roots, _________ roots, any root expressed with the
symbol
3
45
Radical __________ : - an expression involving the __________ __________.
The ___________ ____________ of radicals tells us that the ________ ________ of a ________ equals
the ________ of the ________ ________ of the ________.
Convert each entire radical to a mixed radical in simplest form.
a)
300
b)
288
Convert each entire radical as a mixed radical in simplest form
a)
40
b)
108
Pre-Calculus 11A
5.1: Radical Operations
Principal Square Root
For _______ _______ the concept of ___________ _______ must be considered.
√(−3)2 =
−√(−3)2 =
√(3)2 =
−√(3)2 =
√𝑥 2 =
−√𝑥 2 =
(- 4)2 or ( 4)2 both equal _____.
However √16 =
, not ________.
By definition, _______defines only the _____________ _______ root (
If we want the negative root, use (
If both roots are required write (
).
).
).
For variable radicands:
When the ____________ is a __________, must we consider the concept of a principal root.
√(𝑥 − 2)2 =
4
√𝑥 2 + 4𝑥 + 4 =
√𝑥 3 =
√(2 − 𝑥)4 =
For _______ indices:
3
√−8 =
3
√8 =