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

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

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

simplify

\frac{1}{2 x + 1}

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

Solution steps

\frac{1}{2 x + 1}

Multiply by the conjugate

\frac{x + 1}{x + 1}

= \frac{1 \cdot x + 1}{2 x + 1 x + 1}

1 \cdot x + 1 = x + 1

2 x + 1 x + 1 = 2 x + 2

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

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