Solving Radical Equations - Concept

Concept Concept (1)

Adding and subtracting rational expressions is similar to adding fractions. When adding and subtracting rational expressions, we find a common denominator and then add the numerators. To find a common denominator, factor each first. This strategy is especially important when the denominators are trinomials.

Sample Sample Problems (14)

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Solving Radical Equations - Problem 1

Solve:

4x = 3
Problem 1
How to solve rational equations with no sums or differences.
Solving Radical Equations - Problem 2

Solve 2√3x + 7 − 1 = 7. Check your answer.

Problem 2
How to solve rational equations when the radical needs to be isolated.
Solving Radical Equations - Problem 3

Solve:

5√2 = x
2 − 1 2
Problem 3
How to solve radical proportions.
Solving Radical Equations - Problem 4

Solve:

3 = -x + √x² − 4x − 1
Problem 4
How to solve radical equations by isolating the square root.
Solving Radical Equations - Problem 5
Problem 5
Solving radical equations that involve fractions multiplied by the radical or the radical in the numerator of a fraction.
Solving Radical Equations - Problem 6
Problem 6
Solving equations with two radicals and checking both domains for extraneous solutions.
Solving Radical Equations - Problem 7
Problem 7
Graphical interpretation of solving radical equations, including those with no solution.
Solving Radical Equations - Problem 8
Problem 8
Focusing on isolating the radical in order to solve a radical equation, including those with no real solutions.
Solving Radical Equations - Problem 9
Problem 9
Overview of the process of solving a radical equation, including checking for extraneous solutions.
Solving Radical Equations - Problem 10
Problem 10
Extraneous solutions presented algebraically and graphically in the context of radical equations.
Solving Radical Equations - Problem 11
Problem 11
Solving radical equations when a binomial must be squared.
Solving Radical Equations - Problem 12
Problem 12
Focusing on extraneous solutions that come from solving radical equations.
Solving Radical Equations - Problem 13
Problem 13
Practice evaluating radical expressions, including those that have negatives.
Solving Radical Equations - Problem 14
Problem 14
Finding the domain of a rational function algebraically by setting the radicand greater than or equal to zero.