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Mathematics 9 Online
OpenStudy (anonymous):

Simplify square root of x over x

OpenStudy (mathstudent55):

Simplify this? \(\dfrac{\sqrt{x}}{x} \)

OpenStudy (anonymous):

Yup

OpenStudy (mathstudent55):

or this? \( \sqrt{ \dfrac{x}{x}} \)

OpenStudy (mathstudent55):

If it's the first one, it's already simplified. You have a fraction with no root in the denominator.

OpenStudy (anonymous):

So it wouldn't be √x / x √x / √x√x 1 / √x

OpenStudy (mathstudent55):

You are correct that \( \dfrac{\sqrt{x}}{x}\ = \dfrac{1}{\sqrt{x}} \), but it turns out that what you started with IS the simplified form. When you have a root in the denominator you need to rationalize the denominator to simplify it. What you started with only has a root in the denominator, so it's simplified.

OpenStudy (anonymous):

Oh okay! thank you so much!

OpenStudy (mathstudent55):

wlcm

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