[tex] \dfrac{5}{ \sqrt{5xy^2} }[/tex]
Rationalise the fraction:
[tex] = \dfrac{5}{ \sqrt{5xy^2} } \times \dfrac{\sqrt{5xy^2}}{ \sqrt{5xy^2} }[/tex]
Combine the fraction:
[tex] = \dfrac{5\sqrt{5xy^2}}{ 5xy^2 }[/tex]
Simplify the square root:
[tex] = \dfrac{5y\sqrt{5x}}{ 5xy^2 }[/tex]
Cancel common factors:
[tex] = \dfrac{\sqrt{5x}}{ xy }[/tex]
[tex]\boxed {\boxed {\text {Answer :} \dfrac{\sqrt{5x}}{ xy }}}[/tex]
