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

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

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simplify x/(sqrt(2x))

simplify

\frac{x}{2 x}

\frac{x}{2}

Solution steps

\frac{x}{2 x}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

2 x = x 2

= \frac{x}{x 2}

Apply radical rule:

a = a a

x = x x

= \frac{x x}{x 2}

Cancel the common factor:

x

= \frac{x}{2}

\frac{8}{3} + \frac{4}{3}

(3 + 4 i) + (- 6 + 2 i)

x^{3} 20 x^{2} y^{5}

\frac{( - 5 x ^{2} + 22 x y - 8 y ^{2} )}{( - 3 x + 2 y )}