Question

simplify the square root.

\\\sqrt{(-23)^2}\\

\\\sqrt{(-23)^2} = \square\\

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Evaluate the inner term

First, square the number inside the parentheses:

$$ (-23)^2 = (-23) \times (-23) = 529 $$

Step 2: Take the principal square root

Now, find the principal (positive) square root of the result:

$$ \sqrt{529} = 23 $$

(Note: For any real number \( x \), the property \(\sqrt{x^2} = |x|\) applies. Here, \(\sqrt{(-23)^2} = |-23| = 23\).)

Answer:

23