What is 3/(2sqrt(3x)) ?

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

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simplify 3/(2sqrt(3x))

simplify

\frac{3}{2 3 x}

\frac{3}{2 x}

Solution steps

\frac{3}{2 3 x}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

3 x = 3 x

= \frac{3}{2 3 x}

Apply radical rule:

a = a a

3 = 33

= \frac{3 3}{2 3 x}

Cancel the common factor:

3

= \frac{3}{2 x}

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