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Question
The smallest number by which \[\sqrt{27}\] should be multiplied so as to get a rational number is
Options
- \[\sqrt{27}\]
- \[3\sqrt{3}\]
- \[\sqrt{3}\]
3
Solution
`sqrt 27= sqrt(3xx3xx3)`
`=3sqrt3`
Out of the given choices `sqrt3` is the only smallest number by which if we multiply `sqrt27` we get a rational number.
Hence, the correct choice is (c).
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