how would you rathionalize the denominator of:

Question

f(x)= x/((x+4)^.5)-2

Answer 1

f(x)= x/(√(x+4)-2)

multiply top and bottom by √(x+4) + 2 to get
f(x) = x(√(x+4) + 2)/(x+4) - 4
= √(x+4) + 2