Lesson Plan

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

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