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Indices, SM-Bank 069

Show that  \(\sqrt{144}=\sqrt{36}\times \sqrt{4}\).  (2 marks)

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\(\text{LHS}:\sqrt{144}\) \(=\sqrt{ 12\times 12}\)
  \(=12\)

 

\(\text{RHS}:\sqrt{36}\times \sqrt{4}\) \(=6\times 2\)
  \(=12\)

\(\therefore\ \text{LHS}\ =\ \text{RHS}\)

\(\therefore\ \sqrt{144}=\sqrt{36}\times \sqrt{4}\)

Filed Under: Indices Tagged With: num-title-ct-core, smc-4214-30-Roots

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