Quick questions on Surds and rational exponents (VCE Maths Methods Unit 1)

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is monomial denominator?

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Multiply top and bottom by the surd:

\dfrac{1}{\sqrt 3} = \dfrac{\sqrt 3}{3}

What is binomial denominator?

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Multiply by the conjugate:

\dfrac{1}{\sqrt 5 - 1} = \dfrac{\sqrt 5 + 1}{(\sqrt 5 - 1)(\sqrt 5 + 1)} = \dfrac{\sqrt 5 + 1}{4}

What is q1?

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Simplify

\sqrt{75} + \sqrt{12}

. [2 marks]

What is q2?

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Rationalise the denominator of

\dfrac{6}{\sqrt 3}

and of

\dfrac{2}{\sqrt 5 + 1}

. [2+2 marks]

What is q3?

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Evaluate

16^{3/4}

and

27^{-2/3}

. [2+2 marks]

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