You can put this solution on YOUR website! we are given 1 / (32x)^(1/2)
multiply the numerator and denominator by (32x)^(1/2), we get
(32x)^(1/2) / 32x
note that 16 * 2 = 32 and 16 has a square root
(4*(2x)^(1/2) / 32x
now divide numerator and denominator by 4
(2x)^(1/2) / 8x