# Math Help - Give the geometrical construction of root 2 etc. etc..

1. ## Give the geometrical construction of root 2 etc. etc..

I did this and the following

root(2+root2)

and root(2+root(2+root2))

by drawing a circle of radius one and then working from there, and it came about eventually.

Is there any other easier way? How many ways are there?

What is meant, exactly, by "geometrical construction"?

Compass and ruler?

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PS
Is there a textbook which explains the classical geometry which, if completed, would endow one with a mastery over the classical geometry methods?
________________________

Thanks.

(sorry this post is in the wrong place)

2. Originally Posted by berachia
I did this and the following

root(2+root2)

and root(2+root(2+root2))

by drawing a circle of radius one and then working from there, and it came about eventually.

Is there any other easier way? How many ways are there?

What is meant, exactly, by "geometrical construction"?

Compass and ruler?

------------------------------------
PS
Is there a textbook which explains the classical geometry which, if completed, would endow one with a mastery over the classical geometry methods?
________________________

Thanks.

(sorry this post is in the wrong place)

construct a square of side length 1 ... the length of its diagonal is $\sqrt{2}$

http://whistleralley.com/construction/reference.htm