# prove that 3+root 5 is irrational number

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let us assume that ,

3+ root 5 is a rational number

therefore,

3+ root 5 = p/q

where p and q are integers , q is not equal to zero

by solving the equation,

3+root 5 = p/q

root 5 = p/q - 3

we know that root 5 is irrational

irrational is not equal to rational

so there occurs controversy that our assumption is wrong

so 3+root 5 is irrational

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