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Rationalise a surd denominator

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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The exact expression is shown below. Rationalise its denominator without using decimal approximations

\[\frac{\frac{4}{3}\sqrt{3} + \frac{4}{3}\sqrt{42}}{\sqrt{3}}\]
(a)1 mark

Select the factor that makes the denominator rational while preserving the value

(b)1 mark

Select the fully simplified equivalent form

(c)3 marks

Complete the selected coefficient entries from the canonical form

\[\frac{4 + 4\sqrt{14}}{3}\]