How do you simplify by rationalizing the denominator $\sqrt{\frac{5}{2} x}$ $sqrt(5 / 2x)$ ?

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Answer 1 · 2015-04-10T06:57:23

The answer is $\frac{\sqrt{10}}{2} x$ $sqrt 10/2x$ .

$(\frac{\sqrt{5}}{\sqrt{2}}) x$ $(sqrt(5)/sqrt (2))x$

Simplify.

$\frac{\sqrt{5}}{\sqrt{2}} x$ $(sqrt 5)/(sqrt 2)x$

Rationalize the denominator by multiplying by $\frac{\sqrt{2}}{\sqrt{2}}$ $sqrt 2/sqrt2$

$\frac{\sqrt{5}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$ $(sqrt 5)/(sqrt 2)*sqrt 2/sqrt 2$ =

$\frac{\sqrt{5} \cdot \sqrt{2}}{2} x$ $(sqrt 5*sqrt 2)/(2)x$

Simplify.

$\frac{\sqrt{10}}{2} x$ $sqrt 10/2x$

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