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Exercise

$\frac{\sqrt{a}+2ab}{b}$

Step-by-step Solution

1

Expand the fraction $\frac{\sqrt{a}+2ab}{b}$ into $2$ simpler fractions with common denominator $b$

$\frac{\sqrt{a}}{b}+\frac{2ab}{b}$
2

Simplify the fraction $\frac{2ab}{b}$ by $b$

$\frac{\sqrt{a}}{b}+2a$

Final answer to the exercise

$\frac{\sqrt{a}}{b}+2a$

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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