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

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

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

simplify

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

\frac{x + 1}{x}

Solution steps

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

Join

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

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Apply radical rule:

a = a a

x = x x

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

Cancel the common factor:

x

= \frac{x + 1}{x}

V (0, 0) F (0, - 6)

\frac{x ( x - 1 ) ( x - 3 ) ( x - 12 ) ( x - 23 ) ( x - 24 )}{40824}

(x + 1) (2 x + 1)

\frac{x ^{2} - 12 x - 6}{x ^{2} ( x + 1 ) ^{2}}

C (- 4, - 2)