Rationalize \( \frac{2-\sqrt{5}}{3-\sqrt{5}} \)

Assessment: JAMB UTME - Mathematics - 2011 Subject: General Mathematics

Question 1 Report

Rationalize \( \frac{2-\sqrt{5}}{3-\sqrt{5}} \)

Answer Details
2 − 5 3 − 5  x  3 + 5 3 + 5
( 2 − 5 ) ( 3 + 5 ) ( 3 − 5 ) ( 3 + 5 )  =  6 + 2 5 − 3 5 − 2 5 9 + 3 5 − 3 5 − 2 5
=  6 − 5 − 5 9 − 5
= 

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