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

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Solving Surd Equations
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What is a surd equation?

Equation with square roots or radicals

What is the key to solving surd equations?

Eliminate the radical expressions

How is x4\sqrt[4]{x} written in exponential form?

x14x^{\frac{1}{4}}

What is the solution to 5x4=4055\sqrt[4]{x} = 405?

x=316x = 3^{16}

What does the zero law state?

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

What are the solutions to z−4z+3=0z - 4\sqrt{z} + 3 = 0?

z=9z = 9 and z=1z = 1

In Method 3, what should you do first when the surd is mixed with other terms?

Isolate the square root term

What is the solution to p−2−3=0\sqrt{p - 2} - 3 = 0?

p=11p = 11

What risk occurs when squaring both sides of an equation?

Introducing extraneous solutions

Why is verification essential when solving surd equations?

To ensure solutions are valid

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