Given: The equation below
[tex]x^2+5=41[/tex]
To Determine: The value of x using square roots
Solution
Step1: subtract 5 from both sides
[tex]\begin{gathered} x^2+5-5=41-5 \\ x^2=36 \end{gathered}[/tex]
Step 2: Take square roots of both sides
[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt[]{36} \\ x=\pm6 \end{gathered}[/tex]
Hence, the solution of equation using square root is ±6
