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The paper contains two (2) sections, section A and section B. From section A answer all questions (40 Marks). Section B: Answer Any five (5) Questions.

Mathematics

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Step-by-step solution

4 steps

I will answer question 1(i).

  1. Calculate the value of 72\sqrt{72}.

    Since the value of 72\sqrt{72} is not provided and cannot be expressed in terms of 5\sqrt{5} or 7\sqrt{7}, we calculate its numerical value.

    72≈8.485281\sqrt{72} \approx 8.485281
  2. Calculate the value of 37\frac{3}{\sqrt{7}} using the given 7=2.6458\sqrt{7} = 2.6458.

    37=32.6458\frac{3}{\sqrt{7}} = \frac{3}{2.6458} 32.6458≈1.133879\frac{3}{2.6458} \approx 1.133879
  3. Subtract the values.

    72−37≈8.485281−1.133879\sqrt{72} - \frac{3}{\sqrt{7}} \approx 8.485281 - 1.133879 8.485281−1.133879=7.3514028.485281 - 1.133879 = 7.351402
  4. Round the result to four significant figures.

    The result 7.351402 rounded to four significant figures is 7.351.

    7.351\boxed{\text{7.351}}
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