Question

Make g the subject of the formula V equals to square root of p ^ 2 - 2 g h ​

Answer 1

g =
`(p^2-V^2)/(2h)`

Explanation:

assuming I have your statement correctly interpreted.

V =
`√(p^2-2gh)` ( square both sides to clear the radical )

V² = p² - 2gh ( subtract p² from both sides )

V² - p² = - 2gh ( isolate g by dividing both sides by - 2h )

`(V^2-p^2)/(-2h)` = g

multiply numerator/ denominator of left side by - 1

g =
`(p^2-V^2)/(2h)`