I Am Supposed to be simplifying this\(\frac{\frac{x}{\sqrt{3}}}{y}\)

Ive gotten as far as bringing the Y up to make it \(\frac{x}{\sqrt{3}y}\)

What is the next step?

THanks in advance

Elijah Mar 29, 2022

#1**+1 **

Multiply both the numerator and the denominator by \(y \over \sqrt3\), the reciprocal of \(\sqrt3 \over y\).

This gives: \(xy\over \sqrt3\), which can be written as \(xy \sqrt3 \over 3\)

BuilderBoi Mar 29, 2022

#2**+2 **

x / (y sqrt3) multiply by sqrt3/sqrt3

x sqrt 3 / 3y or x y^{-1 }sqrt 3 / 3

ElectricPavlov Mar 29, 2022

#3**+1 **

Thanks Bilderboi and EP

You did make a mistake builder boi which EP picked up on.

Here is my answer just to stop any confusion.

\(\frac{\frac{x}{\sqrt3}}{y}\\ =\frac{x}{\sqrt3}\div y\\ =\frac{x}{\sqrt3}\times \frac{1}{y} \\ =\frac{x}{y\sqrt3}\qquad \text{I know that you already got this far} \\ \text{now you just need to reationalize the denominator}\\ =\frac{x}{y\sqrt3} \times \frac{\sqrt3}{\sqrt3}\\ =\frac{\sqrt3\; x}{3y} \)

Melody Mar 30, 2022