The simplest form [tex]\rm 5x^{\frac{1}{2}} (x^{\frac{1}{2}} +5)[/tex].
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Simplification is to make something easier to do or understand and to make something less complicated.
Given
[tex]\rm 5\sqrt{xy} + 25\sqrt{x}[/tex] is an algebraic expression.
[tex]\rm 5\sqrt{xy} + 25\sqrt{x}[/tex] is an algebraic expression.
on simplifying we
5√x (√y + 5), that can be written as
[tex]\rm 5x^{\frac{1}{2}} (x^{\frac{1}{2}} +5)[/tex]
Thus this is the simplest form [tex]\rm 5x^{\frac{1}{2}} (x^{\frac{1}{2}} +5)[/tex].
More about the algebra link is given below.
https://brainly.com/question/953809