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

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

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

simplify

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

\frac{x}{2}

Solution steps

x \frac{1}{2 x}

Apply the fraction rule:

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

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

Apply rule:

a \cdot 1 = a

x \cdot 1 = x

= \frac{x}{2 x}

Apply radical rule:

a = a a

x = x x

= \frac{x x}{2 x}

Cancel the common factor:

x

= \frac{x}{2}

(x + 4) - (x - 4)

2 \frac{1}{2} \div \frac{1}{3}

\frac{1}{27}

\frac{1}{14}

10 y - 8 z