What is (x+1)/(sqrt(x^2+1)) ?

The solution to (x+1)/(sqrt(x^2+1)) is ((x+1)sqrt(x^2+1))/(x^2+1)

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simplify (x+1)/(sqrt(x^2+1))

simplify

\frac{x + 1}{x ^{2} + 1}

\frac{( x + 1 ) x ^{2} + 1}{x ^{2} + 1}

Solution steps

\frac{x + 1}{x ^{2} + 1}

Multiply by the conjugate

\frac{x ^{2} + 1}{x ^{2} + 1}

= \frac{( x + 1 ) x ^{2} + 1}{x ^{2} + 1 x ^{2} + 1}

x^{2} + 1 x^{2} + 1 = x^{2} + 1

= \frac{( x + 1 ) x ^{2} + 1}{x ^{2} + 1}

What is (x+1)/(sqrt(x^2+1)) ?
The solution to (x+1)/(sqrt(x^2+1)) is ((x+1)sqrt(x^2+1))/(x^2+1)