Question

prove that 3+2√5 is irrational​

Answer 1

Step-by-step explanation:

Let us assume 3+2root5 is a rational number.

So 3+2root5=p/q

3+p/q= -2root5

3q+p/q= -2root5

3q+p/-2q= root5

we know that root 5 is an irrational number.

so our assumption is contradicts 3+2root5 is an irrational number.

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