Question

rationalise the denominator 6÷7-2 root 3

Answer 1

Hey


The question is :-


6 / 7 - 2√3


To rationalise , i will multiply both numerator and denominator with ( 7 + 2√3 )



So ,


6 * ( 7 + 2√3 ) / ( 7 - 2√3 ) ( 7 + 2√3 )


= 6 ( 7 + 2√3 ) / ( 7 ) ² - ( 2√3 ) ²


= 6 ( 7 + 2√3 ) / 49 - 12


= 6 ( 7 + 2√3 ) / 37


= 42 + 12√3 / 37




thanks :)