Question

prove that 3+2√5is irrational​

Answer 1

Answer:

prove -if possible let us assume that 3+2√5 is a rational number

Step-by-step explanation:

so we can write it in the form of 3+2√5 =a\b

where a and b are integers and bid not equal to 0

so, 2√5=a\b+3

2√5=a+3b\b

√5=a+3b/2b

but this contradict that fact that √5 is an irrational number

this contradiction has arisen because of our incorrect assumption that 3+2√5 is rational

so we conclude that 3+2√5 is an irrational number