What is 3/sqrt 3?

1 Answer
Sep 12, 2015

Answer:

#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#.