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

The solution to ((sqrt(2x)))/((4x)) is 1/(2sqrt(2)\sqrt{x)}

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simplify ((sqrt(2x)))/((4x))

simplify

\frac{( 2 x )}{( 4 x )}

\frac{1}{2 2 x}

Solution steps

\frac{2 x}{4 x}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

2 x = 2 x

= \frac{2 x}{4 x}

Factor the number:

4 = 2 \cdot 2

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

Apply radical rule:

a = a a

2 = 22

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

Cancel the common factor:

2

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

Apply radical rule:

a = a a

x = x x

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

Cancel the common factor:

x

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

= \frac{1}{2 2 x}

\frac{( - 2 a ^{2} ) ^{3}}{b ^{3}}

\frac{( a + x ) ^{2} - 9}{( a + x ) + 3}

\frac{( ( 243 ) ^{\frac{n}{5}} \cdot 3 ^{2 n + 1} )}{( 9 ^{n} \cdot 3 ^{n - 1} )}

(\frac{1}{2 a ^{- 2}})^{- 3}

25 m^{8} - 9 n^{6}

What is ((sqrt(2x)))/((4x)) ?
The solution to ((sqrt(2x)))/((4x)) is 1/(2sqrt(2)\sqrt{x)}