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Indices, SM-Bank 062

  1. Write 900 as a product of its prime factors.  (2 marks)

  2. Hence find \(\sqrt{900}\).  (2 marks)

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a.    \(2\times 2\times 3\times 3\times 5\times 5\)

b.    \(30\)

Show Worked Solution
a.    \(900\) \(=9\times 100\)
    \(=3\times 3\times 10\times 10\)
    \(=3\times 3\times 2\times 5\times 2\times 5\)
    \(=2\times 2\times 3\times 3\times 5\times 5\)

 

b.    \(\sqrt{900}\) \(=\sqrt{2\times 2\times 3\times 3\times 5\times 5}\)
    \(=\sqrt{(2\times 3\times 5)\times (2\times 3\times 5)}\)
    \(=\sqrt{30\times 30}\)
    \(=30\)