What is (x^{1/2})/((x+1)^{1/2)} ?

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

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simplify (x^{1/2})/((x+1)^{1/2)}

simplify

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

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

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

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

12 e^{- 2}

2^{n}

\frac{1}{2 π} e^{- 0.5 (2)^{2}}

7 \cdot 1 0^{- 3} \cdot \frac{0.5715}{1 0 ^{- 6}}

1.9762 \cdot (0.0625)^{- 1.01}

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