Problem 668 Simplify. $$ -\sqrt{100} $... [FREE SOLUTION]

Chapter 1: Problem 668

Simplify. $$ -\sqrt{100} $$

Short Answer

Expert verified

-10

Step by step solution

Identify the square root

Identify the square root in the expression. Here, the expression is $-\sqrt{100}$, which includes the square root of 100.

Simplify the square root

Calculate the square root of 100. $\sqrt{100} = 10$.

Apply the negative sign

Apply the negative sign from the original expression. This means you take the negative of the square root obtained in Step 2. Thus, $-\sqrt{100} = -10$.

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Key Concepts

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

Negative Square Roots

A negative square root involves placing a negative sign in front of the square root symbol. For instance, if you see $-\sqrt{100}$, it means you need to first find the square root of 100 and then apply the negative sign. This does not mean that you take the square root of a negative number, but rather that you make the result of the square root calculation negative. In simple terms, you find the positive square root and then negate it.
Negative square roots are common in algebra, and understanding them is crucial for solving many mathematical problems.

Square Root Calculation

Calculating a square root is finding a number that, when multiplied by itself, gives the original number. For example, the square root of 100 is 10, because 10$\times$10 equals 100.
Here are some key points to remember:

The square root of a number is usually denoted by the symbol $\sqrt{}$.
Square roots of perfect squares (like 100, 49, 64) are whole numbers.
To calculate $\sqrt{100}$, you can think of it as finding a number that when squared gives 100, which is 10 in this case.
It鈥檚 important to get comfortable with these calculations, as they are fundamental to many areas of math.

Step-by-Step Simplification

Simplifying expressions involving square roots can be straightforward if you follow a step-by-step method. Here鈥檚 how we simplified $-\sqrt{100}$:
Step 1: Identify the square root part of the expression. We have $-\sqrt{100}$.
Step 2: Calculate the square root. The square root of 100 is 10, since 10$\times$10=100.
Step 3: Apply the negative sign from the original expression. This means we take the negative of our result from Step 2. Thus, $-\sqrt{100}$ becomes -10.
This breakdown helps you tackle these problems systematically, ensuring you don鈥檛 miss any important steps.

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91影视

Simplify. $$ -\sqrt{100} $$

Short Answer

Step by step solution

Identify the square root

Simplify the square root

Apply the negative sign

Key Concepts

Negative Square Roots

Square Root Calculation

Step-by-Step Simplification

One App. One Place for Learning.

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