Hi!
We want to solve for [tex]b[/tex]
Given:
[tex]a=\sqrt{b+6}[/tex]
Square both sides:
[tex]a^2=\sqrt{b+6} ^2[/tex]
Simplify:
[tex]a^2=b+6[/tex]
Subtract [tex]6[/tex] from both sides:
[tex]a^2-6=b+6-6[/tex]
Simplify:
[tex]a^2-6=b[/tex]
Flip:
[tex]b=a^2-6[/tex]
Hence, [tex]b[/tex] is the subject of the formula.