Question

Simplify each expression. $$ -\sqrt{16} $$

   Simplify each expression.
$$
-\sqrt{16}
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 1, Problem 22

Instant Answer

Solved by Expert Heather Zimmers

03/21/2020

Step 1

The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, we know that $4^2 = 16$, so the square root of 16 is 4. Show more…

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Simplify each expression. $$ -\sqrt{16} $$

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Key Concepts

Square Roots

The square root of a number refers to a value that, when multiplied by itself, results in the original number. Understanding square roots is essential for simplifying radical expressions, as it allows you to determine exact values when they involve perfect squares.

Perfect Squares

A perfect square is an integer that is the square of another integer. Recognizing perfect squares, such as 16, is crucial in simplifying radicals because their square roots can be expressed as whole numbers, making further simplification straightforward.

Negative Signs in Expressions

When a negative sign is placed outside a radical, it negates the value of the entire square root. This understanding is important for correctly simplifying and evaluating expressions, as it affects the overall sign of the result.

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