Do Now: 1. Simplify. 2. What is the index? What is the radicand?

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Presentation transcript:

Do Now: 1. Simplify. 2. What is the index? What is the radicand?

Radical Equations Analysis

Aim: to solve radical equations Radical Equation: an equation that has a variable in a radicand

Which of the following is a radical equation?

The following are radical equations: The following are not radical equations:

In general, to solve a radical equation when just one term has a variable in the radicand, isolate that term on one side of the equation. Then, if the index is 2, square both sides of the equation Always check your solutions! Ex/

Ex/

Similar techniques can be applied to radical equations involving radicals with indexes greater than 2. Instead of squaring both sides, raise each side to a power equal to the index of the radical Ex/