Question

which expression is equivalent to \\(sqrt{100}\\)?
options: 10, 10², 50, 50²

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 know that \( 10^2 = 10\times10 = 100 \), so \( \sqrt{100}=10 \). Now check the options:

• For \( 10^2 \): \( 10^2 = 100

eq10 \).

• For \( 50 \): \( 50^2 = 2500

eq10 \), and \( 50
eq10 \).

• For \( 50^2 \): \( 50^2 = 2500

eq10 \).

• For \( 10 \): It matches \( \sqrt{100}=10 \).

Answer:

The option with "10" (the first option, assuming the order is 10, 10², 50, 50²)