2006-10-02 14:44:12 · 4 answers · asked by racheldawnsmith311 1 in Science & Mathematics ➔ Mathematics
(3/(sqrt(5) + sqrt(3))) - (2/(sqrt(5) - sqrt(3)))
Multiply everything by (sqrt(5) + sqrt(3))(sqrt(5) - sqrt(3))
(3(sqrt(5) - sqrt(3)) - 2(sqrt(5) + sqrt(3)))/((sqrt(5) - sqrt(3))(sqrt(5) + sqrt(3)))
(3sqrt(5) - 3sqrt(3) - 2sqrt(5) - 2sqrt(3))/(5 + sqrt(15) - sqrt(15) - 3)
((3 - 2)sqrt(5) + (-3 - 2)sqrt(3))/(5 - 3)
(sqrt(5) + (-3 + (-2))sqrt(3))/2
(sqrt(5) - 5sqrt(3))/2
2006-10-02 14:50:37 · answer #1 · answered by Sherman81 6 · 0⤊ 1⤋
First subtract
[3/(sqrt5 -sqrt3)] - [2/(sqrt5 - sqrt3)] = 1/(sqrt5 - sqrt3)
Then multiply top and bottom by (sqrt5 + sqrt3) gives
(sqrt5 + sqrt3)/(sqrt5^2 - sqrt3^2) =
(sqrt5 + sqrt3)/(5-3) =
(sqrt5 + sqrt3)/2
May want to stop there.
Working it out:
3.968/2 =
1.984
2006-10-02 21:52:10 · answer #2 · answered by Steve A 7 · 0⤊ 0⤋
rewrite it, cant tell what u want
2006-10-02 21:49:58 · answer #3 · answered by sur2124 4 · 0⤊ 0⤋
-3.21209303
2006-10-02 21:54:09 · answer #4 · answered by boaz0612 2 · 0⤊ 0⤋