What is 4/(sqrt(2x)) ?

The solution to 4/(sqrt(2x)) is (2sqrt(2))/(sqrt(x))

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simplify 4/(sqrt(2x))

simplify

\frac{4}{2 x}

\frac{2 2}{x}

Solution steps

\frac{4}{2 x}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

2 x = 2 x

= \frac{4}{2 x}

Factor the number:

4 = 2 \cdot 2

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

Apply radical rule:

a = a a

2 = 22

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

Cancel the common factor:

2

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

= \frac{2 2}{x}

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