Question

Prove that 2+√3 is an irrational number 5

Answer 1

Step-by-step explanation:

so, assume that 2+3root 5 is rational.

2+3root5=p/q,where p and q are coprimes and q not equals to 0.

3root 5=p/q-2.

root 5=p/q-2/3.

A rational number never equals to an irrational number.

We assume that p and q are coprimes and q not equals to 0.

so, our assumption is wrong.

2+3root 5 is an irrational number.

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