Rational Exponents and Surds (Grade 11 NSC Matric Mathematics): Quizzes

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Rational Exponents and Surds
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What is a rational exponent?

An exponent written as a fraction

What is 8138^{\frac{1}{3}} equal to in radical form?

83\sqrt[3]{8}

Which root has a real value?

−273\sqrt[3]{-27}

What is a surd?

A radical resulting in an irrational no.

In 814\sqrt[4]{81}, what is the number 4 called?

The degree

Are 75\sqrt[5]{7} and 113\sqrt[3]{11} like or unlike surds?

Unlike surds

What is 50\sqrt{50} in simplest surd form?

525\sqrt{2}

Using surd laws, what is 3×12\sqrt{3} \times \sqrt{12}?

66

To rationalise 15\frac{1}{\sqrt{5}}, multiply by which fraction?

55\frac{\sqrt{5}}{\sqrt{5}}

What is 16−1216^{-\frac{1}{2}} equal to?

14\frac{1}{4}

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