ch 8 - rational & radical functions 8.8 – solving radical equations and inequalities

Ch 8 - Rational & Radical Functions 8.8 – Solving Radical Equations and Inequalities

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A radical equation contains a variable within a radical. Steps for Solving Radical Equations 1. Isolate the radical. 2. Raise both sides of the equation to the power equal to the index of the radical. 3. Simplify and solve.

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Ch 8 - Rational & Radical Functions

8.8 – Solving Radical Equations and

Inequalities

Do you know the meaning of these words or phrases?Radical equationRadical inequality

Page 3: Ch 8 - Rational & Radical Functions 8.8 – Solving Radical Equations and Inequalities

A radical equation contains a variable within a radical.Steps for Solving Radical

Equations1.Isolate the radical.2.Raise both sides of the equation to the power equal to the index of the radical.3.Simplify and solve.

Page 4: Ch 8 - Rational & Radical Functions 8.8 – Solving Radical Equations and Inequalities

Solve each equation.1615. xA 84757. 3 xB

Page 5: Ch 8 - Rational & Radical Functions 8.8 – Solving Radical Equations and Inequalities

Solve each equation.23327. xxC

Page 6: Ch 8 - Rational & Radical Functions 8.8 – Solving Radical Equations and Inequalities

Solve each equation.xxD 5333.

Page 7: Ch 8 - Rational & Radical Functions 8.8 – Solving Radical Equations and Inequalities

Use similar methods to solve equations containing rational exponents.

375. 31xA 2

1842. xxB

Page 8: Ch 8 - Rational & Radical Functions 8.8 – Solving Radical Equations and Inequalities

A radical inequality is an inequality that contains a variable within a radical.

.9362 xSolve

The important thing to now consider is that the radicand can never be negative. So, how can we let our answers show this?

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