How do you rationalize the denominator and simplify 4/ (sqrt x +1)4√x+1?

1 Answer
Gió
Apr 30, 2016

I found: (4(sqrt(x)-1))/((x-1)4(√x−1)(x−1)

Explanation:

You can multiply and divide by sqrt(x)-1√x−1:
4/(sqrt(x)+1)*(sqrt(x)-1)/(sqrt(x)-1)=4√x+1⋅√x−1√x−1=
=(4(sqrt(x)-1))/((sqrt(x))^2cancel(-sqrt(x))+cancel(sqrt(x))-1)
=(4(sqrt(x)-1))/((x-1)

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