SEARCH HOME
Math CentralQuandaries & Queries

search

Question from Agnes, a student:

simplify (1-√3)(13+√3)

HI Agnes,

You have written the expression

\[\left( 1 + \sqrt{3}\right) \left( \frac13 + \sqrt{3}\right)\]

but I think what the expression should be is

\[\left( 1 + \sqrt{3}\right) \left( \frac{1}{3 + \sqrt{3}}\right)= \frac{1 + \sqrt{3}}{3 + \sqrt{3}}.\]

If I am correct then you need to "rationalize the denominator" by multiplying the numerator and denominator by

\[3 - \sqrt{3}.\]

I hope this helps,
Penny

About Math Central
 

 


Math Central is supported by the University of Regina and the Imperial Oil Foundation.
Quandaries & Queries page Home page University of Regina