## Pages

News: Currently the LaTeX and hidden solutions on this blog do not work on Google Reader.
Email me if you have suggestions on how to improve this blog!

## Sunday, 28 August 2011

### Math GRE - #27

Which of the following is the best approximation of $\sqrt{1.5}(266)^{3/2}$?

1. 1000
2. 2700
3. 3200
4. 4100
5. 5300

Solution :

With some simplification, we note that: $\begin{eqnarray*} \sqrt{1.5}(266)^{3/2}=\sqrt{\frac{3}{2}}\cdot(266)^{3/2} & = & 266\sqrt{\frac{3\cdot 266}{2}} \\ & = & 266\sqrt{399}\approx266\cdot20\approx 5300. \end{eqnarray*}$
This webpage is LaTeX enabled. To type in-line formulae, type your stuff between two '\$'. To type centred formulae, type '$' at the beginning of your formula and '$' at the end.