HELP!! i need help with these(Headbang)
Q1 Show that:
Ö2+1
----- = 3 +2Ö2
Ö2-1
Q2
Ö5-1
----- = 3+Ö5
Ö5-2
Q3 express : in the form kÖ5
1 1
---- - ----
3Ö5 2Ö20
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HELP!! i need help with these(Headbang)
Q1 Show that:
Ö2+1
----- = 3 +2Ö2
Ö2-1
Q2
Ö5-1
----- = 3+Ö5
Ö5-2
Q3 express : in the form kÖ5
1 1
---- - ----
3Ö5 2Ö20
Multiply the first by (sqrt(2)+1)/(sqrt(2)+1) to get
(sqrt(2)+1)^2/((sqrt(2)-1)(sqrt(2)+1)) = (sqrt(2)+1)^2/(sqrt(2)^2-sqrt(2)+sqrt(2)-1) = (2+2sqrt(2)+1)/1 = 3+2sqrt(2)
The second and third go in exactly the same way.