Make b the subject of the formula a = sqrt (b+6)

b = a^2 - 6

Step-by-step explanation:

a = sqrt (b+6)

Find the square of both sides

a^2 = (b+6). Open brackets

a^2 = b+6

Subtract 6 from both sides

a^2 - 6 = b + 6 - 6

b = a^2 - 6

a = √ (b + 6)

a² = b + 6 (Square both sides)

b = a² - 6 (subtract 6 from both sides)