Question

prove the following are irrational 3+2√5​

Answer 1

Step-by-step explanation:

let us assume that 3+2√5 is not an irrational number

then 3+2√5 is a rational number

therefore 3+2√5=a/b

2√5=a/b-3

2√5=a-3b/b

√5=a-3b/b*1/2

√5=a-3b/2b -equation 1

since a,b are integers then a-3b/2b is also an rational number

from equation 1√5 is rational number which is contradiction

therefore our assumption is wrong

therefore 3+2√5 is a irrational number

Answer 2

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