Step-by-step explanation:
You are told to construct x such that x = sqrt rs.
It is very likely that you were give a table that has columns labelled as r, s, and x (and possibly more).
Before you can construct x using r and s, values for (or the method of finding the values for) r and s must have been given. Then you use these values in finding rs = r × s, before taking the square root of the resulting value to obtain sqrt rs = √(rs) as required.
Example: Supposewe have a table like;
......| r |......| s |......| x = √(rs) |
......| 3|......| 2|...... |√6 = 2.45|
......| 5|......| 4|...... |√20 = 4.47|
To construct x such that x = 2sqrtrs, it goes through the same method as x = sqrt rs, but in this case, instead of taking √(r × s), we take 2 × √(r × s).
Example:
......| r |......| s |......| x = 2√(rs) |
......| 3|......| 2|...... |2√6 = 4.899|
......| 5|......| 4|...... |2√20 = 8.944|