How do you rationalize the denominator and simplify the expression $\frac{x - 1}{\sqrt{x}}$ $(x-1)/sqrtx$ ?

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How do you rationalize the denominator and simplify the expression $\frac{x - 1}{\sqrt{x}}$ $(x-1)/sqrtx$ ?

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Answer 1 · 2015-04-20T20:50:48

Multiply and divide by $\sqrt{x}$ $sqrt(x)$ :
$\frac{x - 1}{\sqrt{x}} \cdot \frac{\sqrt{x}}{\sqrt{x}} = \sqrt{x} \frac{x - 1}{x} = \sqrt{x} - \frac{\sqrt{x}}{x}$ $(x-1)/sqrt(x)*sqrt(x)/sqrt(x)=sqrt(x)(x-1)/x=sqrt(x)-sqrt(x)/x$

Answer 2 · 2015-04-21T00:18:17

Tiago Hands

Apr 21, 2015

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How do you rationalize the denominator and simplify the expression $\frac{x - 1}{\sqrt{x}}$ $(x-1)/sqrtx$ ?

2 Answers

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How do you rationalize the denominator and simplify the expression $\frac{x - 1}{\sqrt{x}}$ $(x-1)/sqrtx$ ?