Question

given that x>0, which expression is equivalent to 5 sqrt xy + 25 sqrt x

Answer 1

The simplest form $\rm 5x^{\frac{1}{2}} (x^{\frac{1}{2}} +5)$.

Algebra

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Simplification

Simplification is to make something easier to do or understand and to make something less complicated.

Given

$\rm 5\sqrt{xy} + 25\sqrt{x}$ is an algebraic expression.

How to get the simplification?

$\rm 5\sqrt{xy} + 25\sqrt{x}$ is an algebraic expression.

on simplifying we

5√x (√y + 5), that can be written as

$\rm 5x^{\frac{1}{2}} (x^{\frac{1}{2}} +5)$

Thus this is the simplest form $\rm 5x^{\frac{1}{2}} (x^{\frac{1}{2}} +5)$.

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