Question

evaluate the square root.

\\(\sqrt{4.6})^2\\

\\(\sqrt{4.6})^2 = \text{ } \text{ (type an integer or a decimal)}\\

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Identify inverse operations

Squaring a number and taking its square root are inverse operations. For any non-negative real number \( a \):

$$ (\sqrt{a})^2 = a $$

Step 2: Apply to the expression

Substitute \( a = 4.6 \) into the identity:

$$ (\sqrt{4.6})^2 = 4.6 $$

Answer:

\( 4.6 \)