Question

solve for w.
$w^2 = 121$
write your answers as integers or as proper or improper fractions in simplest form.
$w = \boxed{}$ or $w = \boxed{}$

Explanation:

Step1: Take square root of both sides

To solve \( w^2 = 121 \), we take the square root of both sides. Remember that when we take the square root of a number, we get both a positive and a negative solution because \( (\pm a)^2=a^2 \). So, we have \( w=\pm\sqrt{121} \).

Step2: Calculate the square root

We know that \( \sqrt{121} = 11 \) because \( 11\times11 = 121 \). So, the solutions are \( w = 11 \) or \( w=- 11 \).

Answer:

\( w = 11 \) or \( w = -11 \)