Question

solve $y^2 = 81$, where $y$ is a real number. simplify your answer as much as possible. if there is more than one solution, separate them with commas. if there is no solution, click on
o solution\. $y = \square$

Explanation:

Step1: Take square root of both sides

To solve the equation \( y^2 = 81 \), 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 \( y=\pm\sqrt{81} \).

Step2: Simplify the square root

We know that \( \sqrt{81} = 9 \) because \( 9\times9 = 81 \) and \( (- 9)\times(-9)=81 \). So, the solutions are \( y = 9 \) or \( y=-9 \).

Answer:

\( 9, -9 \)