Archive
7th of September 2015
Mathematics
Q:

give an example for rationalisation.

Mehak Srivastava - CBSE - Class IX

Monday, September 07, 2015 at 17:21:PM

A:

C o n s i d e r space a n space i r r a t i o n a l space n u m b e r space fraction numerator 3 over denominator 2 plus square root of 5 end fraction T h u s space t h e space r a t i o n a l i sin g space f a c t o r space i s space 2 minus square root of 5 M u l t i p l y space a n d space d i v i d e space t h e space i r r a t i o n a l space n u m b e r space b y space t h e space r a s t i o n a l i sin g space f a c t o r fraction numerator 3 over denominator 2 plus square root of 5 end fraction cross times fraction numerator 2 minus square root of 5 over denominator 2 minus square root of 5 end fraction equals fraction numerator 6 minus 2 square root of 5 over denominator 2 squared minus open parentheses square root of 5 close parentheses squared end fraction equals fraction numerator 6 minus 2 square root of 5 over denominator 4 minus 5 end fraction equals negative open parentheses 6 minus 2 square root of 5 close parentheses equals 2 square root of 5 minus 6

Monday, September 07, 2015 at 18:54:PM