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 definition

The square root of a number \( x \) is a value \( y \) such that \( y^2 = x \). For positive square root, \( y>0 \); for negative square root, \( y<0 \).

Step2: Find negative square root of 121

We know \( 11^2 = 121 \), so the negative square root of 121 is \( -11 \) because \( (-11)^2 = 121 \) and \( -11 < 0 \). So \( -\sqrt{121} = -11 \).

Answer:

-11