Find each square root. See Example 1. -√256

Guida verificata passo dopo passo

Recognize that the expression -\(\sqrt{256}\) means the negative of the square root of 256.

Recall that the square root of a number x, written as \(\sqrt{x}\), is a value that when multiplied by itself gives x.

Calculate \(\sqrt{256}\) by finding the number which, when squared, equals 256.

Since 16 \(\times\) 16 = 256, we have \(\sqrt{256}\) = 16.

Apply the negative sign in front of the square root to get the final expression: -\(\sqrt{256}\) = -16.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.

Durata del video:

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Square Roots

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 256 is 16 because 16 × 16 = 256. Square roots can be positive or negative, but the principal square root is usually taken as the positive value.

Video consigliato:

Percorso guidato

2:20

Imaginary Roots with the Square Root Property

Negative Square Roots

When a negative sign precedes a square root, such as -√256, it means the negative of the principal square root. This is different from the square root of a negative number, which involves imaginary numbers. Here, -√256 equals -16, the negative of the positive root.

Video consigliato:

Percorso guidato

2:20

Imaginary Roots with the Square Root Property

Simplifying Square Roots

Simplifying square roots involves finding the exact value or expressing the root in simplest radical form. For perfect squares like 256, the square root is an integer. Recognizing perfect squares helps quickly simplify roots without a calculator.

Video consigliato:

Percorso guidato

2:20

Imaginary Roots with the Square Root Property

Pratica correlata

Domanda del libro di testo

Determine whether each relation defines a function. See Example 1. x y 3 -4 7 -4 10 -4

636

views

Domanda del libro di testo

Find the domain of each rational expression. See Example 1. (x² - 1) / (x + 1)

822