Vocab
Radical equations
Equations that have a variable as the radicand
(sqrt(t)) - 4 = 7
t = 121
(sqrt(a - 2)) + 4 = a
a = 6
Radicand
The expression underneath the radical
sqrt(c + 10) = 4
c = 6
(sqrt(k + 7)) = 3(sqrt(2))
k = 11
Binomial
Two terms that cannot be combined
(sqrt(10h)) + 1 = 21
h = 40
2(sqrt(x - 11)) - 8 = 4
x = 47
Perfect square trinomial
a^2 +- 2ab + b^2
(sqrt(2y)) - 3 = 5
y = 32
t = 0
Extraneous solution
A solution that comes from factoring the equation but does not make the original equation true
(sqrt(8x)) + 8 = 12
x = 2
(sqrt (2a^2 - 121)) = a
a = 11