Question

simplify. enter the answer in the box.
\sqrt{81} = \square

Explanation:

Step1: Recall square root definition

The square root of a number \( x \), denoted \( \sqrt{x} \), is a value \( y \) such that \( y^2 = x \).

Step2: Find \( y \) for \( x = 81 \)

We need to find a number \( y \) where \( y^2 = 81 \). We know that \( 9 \times 9 = 81 \) (or \( 9^2 = 81 \)) and also \( (-9)^2 = 81 \), but for the principal (non - negative) square root, we take \( y = 9 \). So \( \sqrt{81}=9 \).

Answer:

\( 9 \)