Question

question
express in simplest radical form.
\sqrt{100}

Explanation:

Step1: Recall the square root property

We know that if \( a^2 = b \), then \( \sqrt{b}=a \) (for non - negative real numbers \( a \) and \( b \)). We need to find a number \( x \) such that \( x^2 = 100 \).

Step2: Find the square root of 100

We know that \( 10\times10 = 100 \), which can be written as \( 10^{2}=100 \). So, by the definition of the square root, \( \sqrt{100}=\sqrt{10^{2}} \). And for any non - negative real number \( a \), \( \sqrt{a^{2}}=a \) (when \( a\geq0 \)). Since \( 10\geq0 \), \( \sqrt{10^{2}} = 10 \).

Answer:

\( 10 \)