If √ 0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b =?

Given expression = √0.5 x .5 x a = .5 x .05 x √ b
⇒ √.025 x a = 0.25 x ⇒ b
⇒ 0.025a = 0.25 x .025 x b
∴ a/b = (.025 x .025) /.025
= .025