Question

solve for a
(a^2 = 11)
options:
(a=pmsqrt{11})
(a=pmsqrt{12})
(a=sqrt{11})
(a=pm 3)

Explanation:

Step1: Recall square root property

To solve \( a^2 = 11 \), use the square root property: if \( x^2 = y \), then \( x=\pm\sqrt{y} \) (for \( y\geq0 \)).

Step2: Apply the property

Here, \( x = a \) and \( y = 11 \). So taking square roots on both sides, we get \( a=\pm\sqrt{11} \).

Answer:

\( a=\pm\sqrt{11} \) (the first option: \( \boldsymbol{a=\pm\sqrt{11}} \))