how can i draw 2^(1/3) ?

Question

i dont mean the function i mean:
like i can draw 2^1/2 . i can t say it is this number because it continues but i can draw the exact number! i can draw triangle with the 1 and 1 cm line and the third one is exactly 2^1/2.now i want 2^1/3 !!!

Answer 1

Do you mean construct it with a compass and straigtedge?

Answer 2

Okay, first of all what you have listed here is simply a number: the cubed root of 2. This is approximately 1.26. If this is truly what you mean, there is now way to draw a number. You could plot it if you had an x and y coordinant. Now what I think you meant was the equation y=(2x)^(1/3). In this case all you have to do is take out your graphing calculator (assuming you have one) and type in the y= button and type in you equation. Having graphed this I can give you a rough idea of what it looks like. The function is increasing concave up from negative infinity to 0 . Then from 0 to positive infinity the funciton is increasing concave down. There are no roots except at the point (0,0). I hope this what you meant.