Answer:
Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
Bisector: QS


Required
Determine PQR
Since PQR is bisected to PQS and RQS, we have that

Substitute expressions for PQS and RQS

Collect Like Terms


Divide both sides by 3

Solving for PQR;



Substitute 2 for x



To find x just set this = to 180 bc is a supp angle so 58+x=180 and then subtract 58 from both sides 180-58=122 rewrite x=122
Hope this helps have a nice day!