How do you simplify \frac{2}{\sqrt{3}}?

1 Answer
Apr 14, 2018

(2sqrt3)/3

Explanation:

You want to get rid of the radical in the denominator. The way to do this is to square the denominator so they cancel out. However, you must do this to both the numerator and the denominator to make it equal.

2/sqrt3=2/sqrt3*sqrt3/sqrt3

Note that multiplying both sides by sqrt3/sqrt3 is fine because that simply equals 1, and anything times 1 is itself.

=(2sqrt3)/3 because sqrt3*sqrt3 removes the radical and becomes the radicand, 3.