Solve for p

√p + √16 + 4 = p

Solve for m

√m - √1 + 5 = m - 2

Solve for n

√3n + √10 = n + 4

√p + 4 + 4 = p

√p = p - 8

square both sides:-

p = p^2 - 16p + 64

p^2 - 17p + 64 = 0

p = 11.372, 5.628

Substitute these back into the original equation to check for extraneous roots

p = 11.372 is a genuine root but 5.628 is not