Neco 2018 Mathematics Question 3

Practice essay / theory question 3 from the 2018 Neco Mathematics examination. This question covers Indices, Logarithms, Surds .

Neco 2018 Mathematics Essay / Theory

Topics: Indices Logarithms Surds

Question 3 NECO • 2018 • MATHEMATICS • essay

Consider the expression \(E = \frac{(2^{3} \cdot 5^{2})^{1/2}}{10^{\log_{10} 8}}\).

Question Parts

( a )

Simplify the denominator using the definition of logarithm.

( b )

Simplify the numerator as a surd in its simplest form.

( c )

Hence find the value of \(E\) in the form \(\frac{p\sqrt{q}}{r}\) where \(p, q, r\) are integers, \(q\) is not divisible by any perfect square greater than 1. State the values of \(p, q, r\).

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About This Question

This is Neco 2018 Mathematics Question 3. It is one of the essay questions from the 2018 Neco Mathematics examination.

The question covers Indices, Logarithms, Surds .

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