Expressing Sum in a Form with Square Root
The image shows a mathematical expression that reads "Express 35 + 12 in the form q + rS where q, r, and S are real numbers and S is the square root of numbers."
From the image, I believe the intention is to express the sum 35 + 12 in a form where one of the terms is a multiple of the square root of some number. However, without a specific context, there isn't a unique way to express this sum in the desired form since multiple square roots and their multiples could be used.
For instance, if we consider S to be the square root of 1 (which is 1), we can rewrite 35 + 12 simply as:
35 + 12 = q + rS
47 = q + r(1)
To satisfy this expression:
q = 47
r = 0
S = √1 = 1
So 35 + 12 can be expressed as 47 + 0√1 with q = 47, r = 0, and S = 1.
But without more specific guidelines or constraints, there is not a single correct answer. If you are looking for a more particular form or there are constraints that were not visible or mentioned in the image, please provide that information.
