Question

question
express in simplest radical form.
\\(\sqrt{9}\\)
answer attempt 2 out of 2

Explanation:

Step1: Recall the definition of square root

The square root of a number \( x \), denoted as \( \sqrt{x} \), is a value \( y \) such that \( y^2 = x \). For \( \sqrt{9} \), we need to find a number \( y \) where \( y^2 = 9 \).

Step2: Identify the square root of 9

We know that \( 3^2 = 9 \) (since \( 3\times3 = 9 \)) and also \( (-3)^2 = 9 \), but when we talk about the principal (non - negative) square root, \( \sqrt{9}=3 \). Since we are expressing in simplest radical form, and 9 is a perfect square, the square root of 9 simplifies to 3.

Answer:

3