Question

prove that 3+2√5 is irrational​

Answer 1

Answer:

3+2^5=a/b (where a and b are co primes whose hcf is 1)

2^5=a/b-3

2^5=a-3b/b

^5=a-3b/2b

rational is not equal to irrational

hence 3+2^5 is irrational

Step-by-step explanation:

Answer 2

Answer:

3+2√5 =a/b

2√5=a/b-5

√5=1/2(a/b-3)

1/2(a/b-3 ) is rational. so √5 is also rational.

but √5 is irrational . so our assumption was wrong

hence proved...

hope it is helpful..