Problem 493 In the following exercises, simp... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 5: Problem 493

In the following exercises, simplify. $$ -\sqrt{4} $$

Short Answer

Expert verified

-2

Step by step solution

- Recognize the problem

Identify that the problem asks to simplify $-\sqrt{4}$. This involves finding the square root of 4 and then applying the negative sign.

- Simplify the square root

Find the square root of 4. Recall that $\sqrt{4} = 2$.

- Apply the negative sign

Apply the negative sign to the result from Step 2. Therefore, $-\sqrt{4} = -2$.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Square Roots

A square root is a value that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2 because 2 * 2 = 4. The square root symbol is written as $\sqrt{...} $. It鈥檚 important to remember that every positive number has two square roots, one positive and one negative. However, when you see the square root symbol, it usually refers to the positive root. In our exercise, we simplify $-\sqrt{4} $. The positive square root of 4 is 2, so we just apply the negative sign to get -2.

Negative Numbers

Understanding negative numbers is crucial when dealing with various mathematical problems. A negative number is less than zero and is typically written with a minus sign (e.g., -2, -5). Negative numbers are used to represent values below zero, such as temperatures or debts. In the given problem, after finding the square root of 4, which is 2, we apply the negative sign to get our final answer: -2. It鈥檚 straightforward鈥攖he negative sign simply flips the value from positive to negative.

Simplifying Expressions

Simplifying expressions helps in making calculations easier and understanding mathematical relations better. The process involves reducing a complex expression to its simplest form. In the provided exercise, we started with $-\sqrt{4} $. The simplification process involved identifying the square root of 4, which is 2, and then attaching the negative sign to this result. By doing so, we obtained -2. The step-by-step simplification is essential in math as it allows us to understand the progression and ensure accuracy in solution.

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91影视

In the following exercises, simplify. $$ -\sqrt{4} $$

Short Answer

Step by step solution

- Recognize the problem

- Simplify the square root

- Apply the negative sign

Key Concepts

Square Roots

Negative Numbers

Simplifying Expressions

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