Make b the subject of the formula a=\sqrt{b + 6

Question

Make b the subject of the formula
`a=\sqrt{b + 6`

Answer 1

Hi!

We want to solve for
`b`

Given:

`a=√(b+6)`

Square both sides:

`a^2=√(b+6) ^2`

Simplify:

`a^2=b+6`

Subtract
`6` from both sides:

`a^2-6=b+6-6`

Simplify:

`a^2-6=b`

Flip:

`b=a^2-6`

Hence,
`b` is the subject of the formula.