Question

Find the value of the following:

\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]

Answer 1

\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1} = \frac{1}{1/2} + \frac{1}{1/3} + \frac{1}{1/4}\] → (a⁻¹ = 1/a)

=2+3+4

=12