SOLUTION: Please help! Find the value of p and q such that: 1/(√5-2)=p+q√5 thank you !!

Algebra ->  Equations -> SOLUTION: Please help! Find the value of p and q such that: 1/(√5-2)=p+q√5 thank you !!      Log On


   

Question 605829: Please help!
Find the value of p and q such that:
1/(√5-2)=p+q√5


thank you !!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+1%2F%28+sqrt%285%29+-+2+%29+

Notice that all I did was multiply the given expression by unity
+%28+sqrt%285%29+%2B+2+%29+%2F+%28+5+-+4+%29+
Now I can say
+sqrt%285%29+%2B+2+=+q%2Asqrt%285%29+%2B+p+
+q+=+1+
+p+=+2+
Notice the denominator was like
+%28a+%2B+b%29%2A%28a+-+b%29+
and
+%28a+%2B+b%29%2A%28a+-+b%29+=+a%5E2+%2B+ab+-+ab+-+b%5E2+