Simplify the expression (x^2-2x^(1/2))/x | SnapXam

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 Exercise

$\frac{x^2-2\sqrt{x}}{x}$

 Step-by-step Solution

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1

Expand the fraction $\frac{x^2-2\sqrt{x}}{x}$ into $2$ simpler fractions with common denominator $x$

$\frac{x^2}{x}+\frac{-2\sqrt{x}}{x}$

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2

Simplify the fraction $\frac{x^2}{x}$ by $x$

$x+\frac{-2\sqrt{x}}{x}$

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3

Simplify the fraction $\frac{-2\sqrt{x}}{x}$ by $x$

$x-2x^{-\frac{1}{2}}$

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4

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$-2\left(\frac{1}{x^{\left|-\frac{1}{2}\right|}}\right)$

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5

Multiplying the fraction by $-2$

$\frac{-2}{x^{\left|-\frac{1}{2}\right|}}$

Final answer to the exercise  

$\frac{-2}{x^{\left|-\frac{1}{2}\right|}}$

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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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