*And the best way to get rid of the 3 is to subtract 3 from the left-hand side.*And of course, if I do it on the left-hand side I also have to do it on the right-hand side.

While this is true, it will not help at all with solving algebra problems.

For the purposes of this lesson, a radical is an algebraic term under a square root symbol.

Problems containing other roots are solved in the same manner.

For example: Because it checks out, we know that 23 is the correct answer.

The only way to know is to check your answer by substituting it for x in the original problem.

In this case, the original problem was √(x - 1) = 4.

For example: It does not have to be a square root; it can be a cubed root, or fourth root or any other number.

The square root is the most common and is what is implied when the radical symbol is used alone.

Substitute 17 in for x, and we get √(17 - 1) = 4, or √(16) = 4.

For this problem, the number 17 works, so we have confirmed it as the answer.

## Comments Solving Radical Equations Problems

## Solving Radical Equations - org

An equation that contains a radical expression is called a radical equation. Solving radical equations requires applying the rules of exponents and following some basic algebraic principles. In some cases, it also requires looking out for errors generated by raising unknown quantities to an even power.…

## Solving equations with radicals - free math help

A "radical" equation is an equation in which there is a variable inside the radical sign. Four steps to solve equations with radicals. Step 1 Isolate the radicals to left side of the equal sign. Step 2 Square each side of the equation Step 3 Solve the resulting equation Step 4 Check all solutions. Equations with one radical…

## Mathway Algebra Problem Solver

Free math problem solver answers your algebra homework questions with step-by-step explanations. Mathway. Visit Mathway on the web. Download free on Google Play. out of this tutoring session and select the appropriate subject from the menu located in the upper left corner of the Mathway screen.…

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Engaging math & science practice! Improve your skills with free problems in 'Solving Word Problems Using Radical Equations' and thousands of other practice lessons.…

## Radical Equation Calculator - Symbolab

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

## Solving square-root equations one solution

We're asked to solve the equation, 3 plus the principal square root of 5x plus 6 is equal to 12. And so the general strategy to solve this type of equation is to isolate the radical sign on one side of the equation and then you can square it to essentially get the radical sign to go away.…

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Watch Sal work through a harder Radical and rational equations problem. Watch Sal work through a harder Radical and rational equations problem. If you're seeing this message, it means we're having trouble loading external resources on our website. Problem solving…

## How to solve radical equations. Video Tutorial

Problem 1. Solve the radical Equation Below. Follow the steps for solving radical equations. Show Answer. Step 1. Isolate the radical. Step 1. Step 2. Square both sides. Step 2. Step 3. Solve expression. Step 3. x = 10. Step 4. Substitute answer into original radical equation to verify that the answer is…

## Solving Radical Equations - ClassZone

Solving Radical Equations 437 Solve equations that contain radicals or rational exponents. Use radical equations to solve real-life problems, such as determin-ing wind speeds that corre-spond to the Beaufort wind scale in Example 6. To solve real-life problems, such as determin-ing which boats satisfy the rule for competing in the…