Math CentralQuandaries & Queries


Question from Sherry:

What is the exponential form of 3sqrt 15?

I object to the term "THE exponential form" as an exponential form is any form involving exponents. $\sqrt{15}$ can be written


so I can write

\[3 \sqrt{15} = 3^1 \times 15^{1/2} = 3^1 \times (3 \times 5)^{1/2} = 3^1 \times 3^{1/2} \times 5^{1/2} = 3^{3/2} \times 5^{1/2}.\]

Each of these is in exponential form,


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