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

The solution to sqrt(x)+x/(2sqrt(x)) is (3sqrt(x))/2

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

simplify

x + \frac{x}{2 x}

\frac{3 x}{2}

Solution steps

x + \frac{x}{2 x}

Cancel

\frac{x}{2 x} : \frac{x}{2}

= x + \frac{x}{2}

Apply the fraction rule:

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

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

Add similar elements:

x \cdot 2 + x = 3 x

= \frac{3 x}{2}

\frac{- 8 x + 3}{2 x + 7} - \frac{- 3 x + 6}{2 x + 7}

\frac{8 x ^{2} y ^{2}}{4 x ^{2} y ^{6}}

- 12 \times 4

- 12 \times 2

What is sqrt(x)+x/(2sqrt(x)) ?
The solution to sqrt(x)+x/(2sqrt(x)) is (3sqrt(x))/2