What is sqrt(x)\times 1/x ?

The solution to sqrt(x)\times 1/x is 1/(sqrt(x))

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simplify sqrt(x)\times 1/x

simplify

x \cdot \frac{1}{x}

\frac{1}{x}

Solution steps

x \frac{1}{x}

Apply the fraction rule:

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

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

Apply rule:

a \cdot 1 = a

x \cdot 1 = x

= \frac{x}{x}

Apply radical rule:

a = a a

x = x x

= \frac{x}{x x}

Cancel the common factor:

x

= \frac{1}{x}

5 - - 36

19 + 19

\frac{6}{10} \div \frac{5}{8}

6 x^{2} - 7 x + 1

\frac{82}{3}