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प्रश्न
Show that the following numbers are irrational.
उत्तर
Let us assume that `3-sqrt5` is rational .Then, there exist positive co primes a and b such that
`3-sqrt3=a/b`
`sqrt5=3-a/b`
`sqrt5=(3b-a)/b`
Here we see that `sqrt` is a rational number which is a contradiction as we know that `sqrt5` is an irrational number
Hence `3-sqrt5` is irrational
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