Question

prove that 3+2root5 is irrational.​

Answer 1

3 + 2√5 = a/ b

2√5 =a/b -3

√5 =a-3b/2b

√5 is rational.

This contradicta the fact that √5 is irrational.

So our supposition is incorrect.

Answer 2

$we \: know \: that \: \sqrt{5 \:} is \: irrational. \\ \\ ∴2 \sqrt{5} \: is \: also \: irrational. \\ ∴3 + 2 \sqrt{5} is \: also \: irrational. \\ h$

Hence,Proved.Please mark as brainliest!