What is 3/sqrt 3?

1 Answer
Sep 12, 2015

sqrt(3) which equals 1.73205080757

Explanation:

3 /sqrt(3) = (3 xx sqrt(3))/(sqrt(3) xx sqrt(3)) = (3sqrt(3))/3 = sqrt(3)

We're just multiplying the fraction with sqrt(3) /sqrt(3) (It's the same thing as 3 / sqrt(3) because sqrt(3)/ sqrt(3) is equal to one).

Now the numerator becomes 3 xx sqrt (3) and the denominator becomes 3, because sqrt(3) xx sqrt(3) = sqrt (3xx3) = 3.

So now the fraction is 3 xx sqrt(3)/3

The numerator 3 and denominator 3 cancel each other and the answer is sqrt (3) or 1.73205080757.