\(a,\sqrt{50}=\sqrt{2}.\sqrt{25}=5\sqrt{2}\\ b,\sqrt{72}=\sqrt{36}.\sqrt{2}=6\sqrt{2}\\ c,\sqrt{180x^2}=\sqrt{36x^2}.\sqrt{5}=6x\sqrt{5}\\ d,\sqrt{4x^2y^4}=2xy^2\)
`sqrt{50} = sqrt{5^2 . 2} = 5sqrt{2}`
`sqrt{72} = sqrt{6^2 . 2} = 6sqrt{2}`
`sqrt{180x^2} = sqrt{5.(6x)^2} = sqrt{(6x)^2} . sqrt{5}= 6xsqrt{5}`
`sqrt{4x^2y^4} = sqrt{(2xy^2)^2} = |2xy^2 | = 2xy^2`