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प्रश्न
Show that the following numbers are irrational.
उत्तर
Let us assume that `1/sqrt2` is rational .Then , there exist positive co primes a and b such that
`7/sqrt5=a/b`
`sqrt5=a/(7b)`
We know that `sqrt5` is an irrational number
Here we see that `sqrt5` is a rational number which is a contradiction
Hence `7sqrt5` is irrational
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