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(x+16)1/2 - x1/2 = 6/x1/2
multiply this equation by x1/2
[x(x+16)]1/2 - x = 6
[x(x+16)]1/2 = x+6
squaring both sides
x(x+16) = x2 + 12x + 36
x2 + 16x = x2 +12x +36
4x = 36
x = 9
this is the required solution
ROOT(X+16)=6/ROOTX+ROOTX
SQUARE ON BOTH SIDES
X+16=36/X+X+12
36/X=4
X=9
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