Question

describe a step-by-step process to solve radical equations. List each step and provide an explanation of how to complete each step with an example. answer with 150-200 words

Answer 1

Since most radicals encountered are square root (in short sqrt), I'd give example involving sqrt.

Suppose the radical equation is sqrt(x-1) + 3 = 6

Steps of solving radical equations are

1) Isolate radical on one side of the equation

sqrt(x-1) = 6 -3
OR, sqrt(x-1) = 3

2) Square both sides of the equation to eliminate radical

(sqrt(x-1))² = 3²
OR, x - 1 = 9

3) Simplify and solve as you would any equaitons

x - 1 = 9
OR, x = 9+1
OR, x = 10

4) Substitute answers back into original equation to make sure that your solutions are valid

Putting x = 10 in original equation,

sqrt(10-1) + 3 = 6
OR, sqrt(9) = 6-3
OR, sqrt(9) = 3
Which is true. Thus, x = 10 is the solution to above radical equation.

Answer 2

See lower right hand corner of this help sheet:

http://www.ecalc.com/pics/math/algebra.gif