Question 65721
QUESTION:


The square root of 5 - 3

DIVIDED BY 

The square root of 5 - 2


ANSWER:

(sqrt5 - 3)/(sqrt 5-2)


Multiply both the numerator and denominator by (sqrt 5 + 2)
(This step is known as rationalisation. Here what you have to do is consider the denominator and change the sign in between two terms and then multiply both the numerator and denominator with this new binomial.  Here denominator is 
sqrt5-2 so we have to multiply sqrt5 + 2  with numerator and denominator.)


 

==> (sqrt5 - 3)*(sqrt 5 + 2)/(sqrt 5-2)* (sqrt 5 + 2)



Remove the parenthesis,



==>( sqrt 5* sqrt5 + 2*sqrt5 -3sqrt5-3*2)/(sqrt5*sqrt5 +2*sqrt5 -2*sqrt5 -2*2)




==> ( 5 -1 sqrt5 -6 )/(5 - 4 )



==> (-1-sqrt5)/1



==> -1-sqrt5




This is the required answer..




Hope you understood.




Regards.



Praseena.