IP1U1 SWII Q13

IP1U1 SWII Q13

IP 1
  1. Express \(2744\) as the product of its prime factors. Give your answer in index notation.
  2. State the smallest positive integer value of \(n\), for \(\frac{2744}{n}\) to be a perfect square.
  3. Use your answer from part (a) to find the value of \(\sqrt[3]{2744}\).

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Answer:(a) \(2^3\times7^3\) (b) \(n=14\) (c) \(14\)

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