In Exercises 29–36, simplify and write the result in standard form.√(3^2 - 4 × 2 × 5)

The square root of a number is a value that, when multiplied by itself, gives the original number. In this problem, we need to simplify the expression under the square root before calculating its value. The square root is denoted by the radical symbol (√) and is fundamental in algebra for solving equations and simplifying expressions.

Order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In this exercise, correctly applying these rules is crucial for simplifying the expression under the square root accurately.

Standard form in mathematics typically refers to a way of writing numbers or expressions in a conventional format. For complex numbers, it is expressed as a + bi, where a and b are real numbers and i is the imaginary unit. In this context, simplifying the expression to standard form means presenting the final result clearly and concisely, which is essential for clarity in mathematical communication.