First, evaluate the expression inside the parentheses: .
Calculate , which is .
Subtract the result of from 4.
Next, evaluate the expression inside the second set of parentheses: .
Calculate , which is the square root of 25.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Order of Operations
The 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 evaluating expressions, it is crucial to follow this order to arrive at the correct answer.
Exponents represent repeated multiplication of a number by itself. For example, 2³ means 2 multiplied by itself three times, which equals 8. Understanding how to calculate exponents is essential for simplifying expressions that include them, as they can significantly affect the value of the expression.
A square root of a number is a value that, when multiplied by itself, gives the original number. The square root symbol (√) indicates this operation. For instance, √25 equals 5 because 5 × 5 = 25. Recognizing how to compute square roots is important for evaluating expressions that involve them, especially in conjunction with other operations.