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Show that 3sqrt(2) is irrational....

Show that `3sqrt(2)` is irrational.

Text Solution

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Let `3+sqrt2` is a rational number.. such that `3+sqrt2 = a/b` ,where a and b are integers and b is not equal to zero .
therefore,
`3 + sqrt2 = a/b`
`=>sqrt2 = a/b -3` ...
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