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

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

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

1 + \frac{b}{c} = \frac{c + b}{c}

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

Simplify

(x + 1) + 1 : x + 2

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

(- 1)^{n} (- 3)^{n}

33512

1.6 \times 1 0^{- 4}

(6.022 \cdot 1 0^{23}) (6.626 \cdot 1 0^{- 34}) (3 \cdot 1 0^{8})

- e^{- \frac{3}{4}}

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