Respuesta :

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.

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