How do you rationalize the denominator and simplify 10/root3(7)?

1 Answer
Alan P.
Sep 28, 2015

10/7root(3)(49)

Explanation:

10/root(3)(7)

color(white)("XXX")=10/root(3)(7)*root(3)(7)/root(3)(7)*root(3)(7)/(root(3)(7)

color(white)("XXX")=(10(root(3)(7))^2)/((root(3)(7))^3)

color(white)("XXX")=(10(root(3)(7^2)))/(7)

color(white)("XXX")=(10(root(3)(49)))/7

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