Math

The notation makes it a little difficult here.

There aremultiple things you might mean with that but I think you mean either of these two.

(1) 1/3 multiplied by sqrt(27) which is similar to the square root of 27 divided by 3 which is 5.1961524227066319 divided by 3.

Since this number has a lot of decimal digits, I suppose this is not what you mean.

What I think you mean is

(2) the 3th root of the number 27. Also denoted as sqrt3(27).

First think of the square root of a number. For example the square root of 4, basically 'the square root finds the number which if multiplied by itself becomes this 4'.
So the square root of 4 is 2 because 2 x 2 = 4 and the square root of 16 is 4 because 4 x 4 = 16. But what if we for example want to find out what number needs to be multiplied three times to become 8. Then we use the 3th root of the number 8. For 8 this is 2x2x2. Now for the 3th root of 27 think of a number which if multiplied by itself three times gives 27. Then you have the 3th root of the number 27 also denoted as sqrt3(27)

It looks like this:
sqrt3(27).png

If what you meant, is not among these two answers, please let me know.

Tornike:

1/3sqrt(27

Hi Tornike ans reinout-g,

I had a different interpretation again of what i think Tornike meant.

I think he meant 1/3 * sqrt(27)

= 1/3 * sqrt (9*3)
=1/3 * sqrt9 * sqrt3
=1/3 * 3 * sqrt3
= sqrt3

There you go Tornike.
You've got lots of answers to choose from.