c.
Factor 550 into its prime factors
550 = 2 • 52 • 11
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
25 = 52
Factors which will remain inside the root are :
22 = 2 • 11
To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
5 = 5
The simplified SQRT looks like this:
5 • sqrt (22)
