Neco 2019 Mathematics Question 3

Practice essay / theory question 3 from the 2019 Neco Mathematics examination. This question covers Indices, Surds, Logarithms .

Neco 2019 Mathematics Essay / Theory

Topics: Indices Surds Logarithms

Question 3 NECO • 2019 • MATHEMATICS • essay

Let \(a = 2^{3/2} \times 5^{1/2}\) and \(b = 2^{1/2} \times 5^{3/2}\).

( a )

Write \(a\) and \(b\) in simplest surd form.

( b )

Find the value of \(\dfrac{a^{2}-b^{2}}{ab}\).

( c )

If \(\log_{10}\left(\dfrac{a}{b}\right)=k\), determine the exact value of \(k\).

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This is Neco 2019 Mathematics Question 3. It is one of the essay questions from the 2019 Neco Mathematics examination.

The question covers Indices, Surds, Logarithms .

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