How do you rationalize the denominator and simplify $(2sqrt 2-2sqrt 3 )/sqrt3$ ?

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Answer 1 · 2017-04-28T03:44:34

Multiply both top and bottom of the fraction by $sqrt(3)$ to remove the irrational denominator.

$(2sqrt(2)-2sqrt(3))/sqrt(3)*sqrt(3)/sqrt(3)=(2sqrt(2)sqrt(3)-2(3))/3=(2sqrt(5)-6)/3$

How do you rationalize the denominator and simplify (2sqrt 2-2sqrt 3 )/sqrt3 (2sqrt 2-2sqrt 3 )/sqrt3 ?