Question

express in simplest radical form. \\(\sqrt{64}\\)

Explanation:

Step1: Recall the square root definition

The square root of a number \( x \), denoted as \( \sqrt{x} \), is a value \( y \) such that \( y^2 = x \). We need to find \( y \) where \( y^2=64 \).

Step2: Identify the square number

We know that \( 8\times8 = 64 \), which can be written as \( 8^2=64 \). So, by the definition of square root, \( \sqrt{64}=\sqrt{8^2} \).

Step3: Simplify the square root

For a non - negative real number \( a \), \( \sqrt{a^2}=a \). Since \( 8\) is non - negative, \( \sqrt{8^2} = 8 \).

Answer:

\( 8 \)