Question

prove that 5+root 3 is irrational ​

Answer 1

Let us suppose that 5+√3 is rational, then it can be written in the form p/q

5+√3 = p/q

√3 = p/q - 5

√3 = (p - 5q) /q

Since here we know that root 3 is irrational but (p - 5q) / q is rational. So, contradiction emerges due to wrong supposition. So, 5+√3 is irrational.

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Answer 2

Answer:

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