Download Radical Equation

Algebra 2 Unit 2
Radical Equation
Equation with a variable under radical sign
Steps for Solving Radical Equation Steps:
Reminder: Radicals are the same as exponents in PEMDAS order
[1] Isolate the radical term: “Cancel all outside operations”
[2] Remove Radical Sign by Powering both sides by Root
Square for
...  #
Cube for 3
...  #
Fourth for
4
...  #
[3] SOLVE remaining equation and
check for Extraneous Solution
Extra solutions that do not satisfy original
Extraneous Solutions: equation because of the domain for radicals
Example 1 Solving Radical Equations Algebraically
[1]
[3]
x 1  2  4
x
5 2 4
3
[2]
y  2 1  5
[4]
7 y
 7  10
3
Example 1: continued
[5]
x  1  5  15
[6]
[7]
4b  1  3  0
[8] 4  3 x  2  2
y  3 1  7
Example 1: continued
[9]
5x  2  2 7
[10]
x 7  3 x
[11]
b
6  3 5
3
[12]
2x  4  3  5x
Radicals Classwork
1.
x  5  12  4
3.
2 x  2  11  17
2.
4.
x  6  10  4
3 5 x  1  11  17
5.
7.
4 2x  1  5  9
x
3 6   15
2
6.
8.
7 4 x  1  2  16
2x  5
4
 2  26
3
9.
2x  1  3 1  x
10.
5  3x  2 6  2x
EXP#2: Solving Radical Equations with Multiple Variables
[1]
xa b
[2]
[3]
3 pq  r
[4]
rs  t
2p q a  7