Question

what is the positive square root of 121?
\sqrt{121} = 11
what is the negative square root of 121?
-\sqrt{121} = \square

Explanation:

Step1: Recall square root property

The square root of a number \( x \) is a value \( y \) such that \( y^2 = x \). For positive square root, we take the positive \( y \), and for negative square root, we take the negative \( y \). We know that \( \sqrt{121} = 11 \) because \( 11^2 = 121 \).

Step2: Apply negative sign

To find \( -\sqrt{121} \), we take the negative of the positive square root. Since \( \sqrt{121} = 11 \), then \( -\sqrt{121} = - 11 \).

Answer:

\(-11\)