Factor and simplify. Express the answer as a fraction without negative exponents.

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

are you supposed to do this:

(x+2) sqrt(x-1) / sqrt(x-1) ??? but then what?

Question

Factor and simplify. Express the answer as a fraction without negative exponents.

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

are you supposed to do this:

(x+2) sqrt(x-1) / sqrt(x-1) ??? but then what?

dumbcow · Answer

where did the sqrt come from ??

dumbcow · Answer

oh nevermind, i misread the expression :)

dumbcow · Answer

ok you dont need the sqrt(x-1) on bottom

anonymous · Answer

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

anonymous · Answer

oh crap i meant, x(x-1)^-1/2 + 2(x-1)^1/2, haha sorry >.<

dumbcow · Answer

$$\frac{x}{\sqrt{x-1}}+2\sqrt{x-1} = \frac{x}{\sqrt{x-1}}+(2\sqrt{x-1}*\frac{\sqrt{x-1}}{\sqrt{x-1}}) = \frac{x+2(x-1)}{\sqrt{x-1}}$$

dumbcow · Answer

$$=\frac{3x-2}{\sqrt{x-1}} = \frac{3x-2}{\sqrt{x-1}}*\frac{\sqrt{x-1}}{\sqrt{x-1}} = \frac{(3x-2)\sqrt{x-1}}{x-1}$$

anonymous · Answer

haha wow thanks so much!

dumbcow · Answer

i was assuming they won't like radical in the denominator
your welcome