Final answer:
Following the order of operations (PEMDAS), the result of the expression 'the square root of 164, multiplied by 7, then subtract 2 and finally add 14' is approximately 101.643.
Step-by-step explanation:
To compute the mathematical expression you provided, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplications and Divisions, Additions and Subtractions). The square root function falls under 'exponents' in this hierarchy. Hence, assuming the expression runs as follows: square root of 164, multiplied by 7, then subtract 2 and finally add 14, the steps would be:
First, compute the square root of 164, which is approximately 12.806.Next, multiply this by 7 to get approximately 89.643.Subtract 2 from this to get 87.643.Finally, add 14 to arrive at the final answer, which is 101.643.Learn more about Order of Operations