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## Most Used Actions

- \sqrt{3+x}=-2
- \sqrt{x-1}-x=-7
- \sqrt{x}\sqrt{x-7}=12
- \sqrt{17x-\sqrt{x^2-5}}=7
- (2x-5)^{\frac{1}{3}}=3
- \sqrt{x-3}=3+\sqrt{x}
- How do you solve a radical equation?
- To solve a radical equation, isolate the radical on one side of the equation, raise both sides to a power that will eliminate the radical and solve the equation. Check you answer.
- What is a radical equation?
- A radical equation is an equation that involves a radical of an expression containing a varaible.
- How do I simplify a radical?
- To simplify a radical, factor the number inside the radical and pull out any perfect square factors as a power of the radical.
- How do you multiply two radicals?
- To multiply two radicals, multiply the numbers inside the radicals (the radicands) and leave the radicals unchanged. √a x √b = √(a x b)

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Radical Expressions and Equations

- Concept 3 min
- Problem 1 2 min
- Problem 2 4 min
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- Problem 8 4 min
- Problem 9 3 min
- Problem 10 4 min
- Concept 1 min
- Problem 1 1 min
- Problem 2 2 min
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- Problem 7 4 min
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- Problem 5 3 min
- Concept 2 min
- Problem 3 3 min
- Problem 6 4 min
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- Problem 14 4 min
- Problem 2 3 min
- Problem 4 5 min
- Concept 7 min
- Problem 1 3 min
- Problem 3 4 min

Quadratic Equations and Functions

Rational Expressions and Functions

## Alissa Fong

MA, Stanford University Teaching in the San Francisco Bay Area

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## Solving Radical Equations - Problem 3

## How To : Solve word problems containing radical equations

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- Quiz: Greatest Common Factor
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- Quiz: Difference of Squares
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- Quiz: Sum or Difference of Cubes
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- Quiz: Trinomials of the Form x^2 + bx + c
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- Quiz: Trinomials of the Form ax^2 + bx + c
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- Quiz: Square Trinomials
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- Quiz: Factoring by Regrouping
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- Quiz: Solving Equations by Factoring
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- Quiz: Examples of Rational Expressions
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- Quiz: Simplifying Rational Expressions
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- Quiz: Dividing Rational Expressions
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- Quiz: Solving Rational Equations
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- Quiz: Proportion, Direct Variation, Inverse Variation, Joint Variation
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- Quiz: Radicals
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- Quiz: Simplifying Radicals
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- Quiz: Adding and Subtracting Radical Expressions
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- Quiz: Solving Quadratics by Factoring
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- Quiz: Solving Equations in Quadratic Form
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- Quiz: Definition and Examples of Sequences
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- Quiz: Binomial Coefficients and the Binomial Theorem
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- Algebra II Quiz

Raise both sides of the equation to the index of the radical.

Isolate the radical expression.

Raise both sides to the index of the radical; in this case, square both sides.

This quadratic equation now can be solved either by factoring or by applying the quadratic formula.

Isolate one of the radical expressions.

This is still a radical equation. Isolate the radical expression.

This can be solved either by factoring or by applying the quadratic formula.

Isolate the radical involving the variable.

The check of the solution x = –15 is left to you.

Previous Quiz: Solving Equations in Quadratic Form

Next Quiz: Solving Radical Equations

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Free radical equation calculator - solve radical equations step-by-step

Solving Problems Involving Radical Equations - Free download as Word Doc (.doc / .docx), PDF File (.pdf), Text File (.txt) or read online for free. enjoy math

Time-saving video that explains how to solve any equation with radicals (square roots). Example problems have roots of variable expressions and trinomials, and use cross products

A radical equation is an equation in which a variable is under a radical

To solve an equation involving radicals, inverse operations are used to solve for the variable. A radical involving the square root of a number can be evaluated by determining the square root of the number under the radical sign