The square root of x3x3Solutionsqrtx3 x3 squarring both sid

The square root of x+3=x-3

sqrt(x+3) = x-3

squarring both sides

(x+3) = (x-3)²

=> x+3 = x²+9-6x

=> x²-7x+6 =0

=> x²-6x-x+6 =0

=> x(x-6) -1(x-6)=0

=> (x-1)(x-6) =0

=> x-1, x=6

When x=1, sqrt(x+3) = sqrt(1+3) = sqrt(4) =2 and x-3 = 1-3 = -2

Hence 2=-2 is not possible , so x=1 is not a solution

When x=6, sqrt(6+3) = sqrt(9) = 3 and x-3 = 6-3 = 3

Hence 3=3 which is true and hence x=6 is solution to the equation