To construct a general square root of a segment AB:

1. Draw a perpendicular to AB at A, making ray AC. Mark off line segment AC equal to AB.

2. Draw BC.

BC is equal to AB times the square root of 2.

3. Draw a perpendicular to BC at C to make a line CD. Mark off line segment CD equal to AB.

4. Draw DB.

DB is equal to AB times the square root of 3.

5. Draw a perpendicular to DB at D to make a line DE. Mark off line segment DE equal to AB.

6. Draw EB.

EB is equal to AB times square root 4 (AB times 2)

7. Draw a perpendicular to EB at E to make a line EF. Mark off line segment EF equal to AB.

8. Draw FB.

FB is equal to AB times square root 5.

7. Draw a perpendicular to FB at F to make a line FG. Mark off line segment FG equal to AB.

8. Draw GB.

GB is equal to AB times square root 6.

You can continue in this way to find the square root multiplied by AB, or you can set AB equal to "1". to find the square root of any number.

You can also use another method of constructing square root. Square Root.

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