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sqrt (18x^7 over y^7)
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\[\sqrt{18 x^7/y^7}\]
yep, that's it
rationalize the denominator in the expression. Assume all variable represent positive real numbers.
\[\sqrt{18x^7}/\sqrt{y^7}\times \sqrt{y^7}/\sqrt{y^7}\] \[\sqrt{18x^7y^7} \over y^7\]
not it...
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You can simplify further \[\frac{\sqrt{18x^7y^7}}{y^7}\] \[\frac{\sqrt{18}\sqrt{x^7}\sqrt{y^7}}{y^7}\] \[\frac{3\sqrt{2}x^3\sqrt{x}y^3\sqrt{y}}{y^7}\] \[\frac{3x^3y^3\sqrt{2xy}}{y^7}\]
Oops not done simplifying, you can simplify it even further to get \[\frac{3x^3\sqrt{2xy}}{y^4}\]
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