# Solve the equation 3/√2x

Solve the equation

$\frac{3}{\sqrt{2x}}$

You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Clelioo

To simplify a rational expression with a root in the denominator, we need to multiply the numerator and denominator by the root.
To simplify $\frac{3}{\sqrt{2x}}$, we then need to multiply the numerator and denominator by $\sqrt{2}x$, which gives $\frac{\frac{\left(3×\sqrt{2}x\right)}{\left(\sqrt{2}x\right)\left(\sqrt{2}x\right)}}{}$.
Using the property $\sqrt{x}×\sqrt{x}=x$ where $x>0$ to simplify the denominator then gives $\frac{3}{\left(\sqrt{2x}\right)\left(\sqrt{2x}\right)}=\frac{3}{\sqrt{\frac{2x}{2x}}}$