Solving radical equations (extraneous solutions)

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

A 509. Work with squares and square roots of numbers A 510. Work with cubes and cube roots of numbers A 513. Determine when an expression is undefined N 605. Apply properties of rational exponents N 604. Apply the facts that π is irrational and that the square root of an integer is rational only if that integer is a perfect square A 601. Manipulate expressions and equations A 605. Solve quadratic equations

A 509. Work with squares and square roots of numbers
A 510. Work with cubes and cube roots of numbers
A 513. Determine when an expression is undefined
N 605. Apply properties of rational exponents
N 604. Apply the facts that π is irrational and that the square root of an integer is rational only if that integer is a perfect square
A 601. Manipulate expressions and equations
A 605. Solve quadratic equations

What you'll learn

Solve a radical equation by isolating the radical, raising both sides to the index, solving, and checking every candidate in the **original** equation
Explain why squaring both sides can introduce an extraneous solution and raising to an odd power cannot, and use the principal-root restriction to reject a candidate without substituting
Solve an equation containing two radicals by repeating the procedure, and an equation written with a rational exponent by raising both sides to the reciprocal power

Review first:

Slides

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