Get the free Solving Radical Equations - Ithaca High School

Name Class Date Lesson 113 Solving Radical Equations Lesson Objectives 1 Solve equations containing radicals 2 Identify extraneous solutions NEP 2005 Strand: Algebra Topic: Variables, Expressions,

How to fill out solving radical equations

1. To fill out solving radical equations, start by identifying the radical symbol (√) and the radicand (the number or expression inside the radical symbol).
2. Simplify the radicand if possible by finding perfect square factors or evaluating any expressions within the radicand.
3. Isolate the radical term by performing the inverse operation on the other side of the equation (e.g., if the radical is being added, subtract it from both sides).
4. Square both sides of the equation to eliminate the radical symbol. Be cautious of introducing extraneous solutions when squaring, which means solutions that do not satisfy the original equation.
5. Solve the resulting equation by applying algebraic techniques such as combining like terms, factoring, or using the quadratic formula if necessary.
6. Check if the obtained solution satisfies the original equation by substituting it back in. If it does, then it is a valid solution.
7. Repeat the above steps for any other radical equations that need to be solved.

Who needs solving radical equations?

1. Students studying advanced algebra or calculus who come across radical equations in their coursework.
2. Individuals working in fields such as engineering, physics, or mathematics that require solving equations involving radicals in real-world applications or problem-solving.
3. Anyone preparing for standardized tests or examinations that assess the ability to solve radical equations, such as the SAT or ACT math sections.

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What is solving radical equations?

Solving radical equations involves isolating the variable in an equation that contains radicals (square roots, cube roots, etc.) to find the value of the variable.

Who is required to file solving radical equations?

Students and individuals studying mathematics or algebra may be required to solve radical equations as a part of their coursework.

How to fill out solving radical equations?

To fill out solving radical equations, one must follow the steps to isolate the variable and solve for its value in the given equation.

What is the purpose of solving radical equations?

The purpose of solving radical equations is to find the solution or solutions for the variable in equations that contain radical expressions.

What information must be reported on solving radical equations?

The solution(s) for the variable in the equation with radical expressions must be reported when solving radical equations.

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