Question

which expression is equivalent to \\(\sqrt{100}\\)?
\\(\circ\\) 10
\\(\circ\\) \\(10^2\\)
\\(\circ\\) 50
\\(\circ\\) \\(50^2\\)

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: Calculate \( \sqrt{100} \)

We need to find a number \( y \) where \( y^2 = 100 \). Testing \( y = 10 \), we have \( 10^2 = 100 \), so \( \sqrt{100}=10 \).

Step3: Analyze other options

• \( 10^2 = 100 \), not \( \sqrt{100} \).
• \( 50 \) squared is \( 2500

eq 100 \), so \( 50 \) is not \( \sqrt{100} \).

• \( 50^2 = 2500

eq 100 \), so \( 50^2 \) is not \( \sqrt{100} \).

Answer:

10 (the first option)