Solving Surd Equations (Grade 11 NSC Matric Mathematics): Flashcards

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Solving Surd Equations
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Surd equation definition

Equation with square roots or radical expressions

Main goal when solving surd equations

Eliminate the radical expressions

Three methods for solving surd equations

Exponential form, factoring, isolating and squaring

Method 1 for surd equations

Convert surds to exponential form

Method 2 for surd equations

Factoring using the zero law

Method 3 for surd equations

Isolate the square root, then square both sides

The zero law statement

If a×b=0a \times b = 0, then a=0a = 0 or b=0b = 0

Why verify solutions in surd equations

Squaring can introduce false/extraneous solutions

First step in isolation method

Isolate the square root term

Convert z\sqrt{z} to exponential form

z12z^{\frac{1}{2}}

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