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Question
When written with a rational denominator, the expression `(2sqrt(3))/(3sqrt(2))` can be simplified as
Options
`sqrt(2)/3`
`sqrt(3)/2`
`sqrt(6)/3`
`2/3`
MCQ
Solution
`sqrt(6)/3`
Explanation;
Hint:
`(2sqrt(3))/(3sqrt(2)) = (2sqrt(3))/(3sqrt(2)) xx sqrt(2)/sqrt(2)`
= `(2sqrt(6))/(3 xx 2)`
= `sqrt(6)/3`
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Conversion of Terminating Decimals into Rational Numbers
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