Radical Equations and Problem Solving

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Presentation transcript:

Radical Equations and Problem Solving 8.8 Radical Equations and Problem Solving

Example Solve.

Solving a Radical Equation Step 1: Isolate one radical on one side of the equation. Step 2: Raise each side of the equation to a power equal to the index of the radical and simplify. Step 3: If equation still contains a radical, repeat steps 1 and 2. If not, solve equation. Step 4: Check proposed solutions in the original equation.

Example Solve:

Example Solve:

Example Solve.

The Pythagorean Theorem If a and b are lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.

Example Find the length of the hypotenuse of a right triangle when the length of the two legs are 2 inches and 7 inches.