Hard(calculus): Simplify This as much as possible. Explain each step.?

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x^-1/2 * (x+1)^1/2 + x^1/2 * (x+1)^-1/2

2007-01-22 02:42:05 · 5 answers · asked by Matthew K 2 in Science & Mathematics ➔ Mathematics

Its off a worksheet

2007-01-22 06:48:52 · update #1

My brain hurts.

2007-01-22 02:50:13 · answer #1 · answered by gebobs 6 · 0⤊ 0⤋

x^-1/2 * (x+1)^1/2 + x^1/2 * (x+1)^-1/2
= (x+1+x)/[x(x+1)]^(1/2)
= (2x+1)/[x(x+1)]^(1/2)

2007-01-22 10:48:01 · answer #2 · answered by sahsjing 7 · 0⤊ 0⤋

Does your book have anwers-Back page.

2007-01-22 12:02:06 · answer #3 · answered by omusonye 1 · 0⤊ 0⤋

(X+1)^1/2/x^1/2+x^1/2/(x+1)^1/2
(x+1)+x/x^1/2*(x+1)^1/2
2x+1/[x(x+1)]^1/2

2007-01-22 10:47:40 · answer #4 · answered by raj 7 · 0⤊ 0⤋

sqrt(x+1)/sqrt(x)+sqrt(x)/sqrt(x+1)
=(2x+1)/sqrt(x*(x+1))

2007-01-22 10:55:20 · answer #5 · answered by iyiogrenci 6 · 0⤊ 0⤋