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\frac{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}
Multiply \frac{\sqrt{x}+1}{\sqrt{x}-1} times \frac{\sqrt{x}-1}{\sqrt{x}+1} by multiplying numerator times numerator and denominator times denominator.
1
Cancel out \left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right) in both numerator and denominator.