Question

2. Prove that 3 + 2/5 is irrational.​

Answer 1

Step-by-step explanation:

we have to prove that the 3+2√ 5 is irrational .

assuming that , 3+ 2√5 is rational

resulting that the , the rational number can be write in the form of a / b

3 + 2√5 = a/b

hence we have to write ,

2√5 = a/b - 3

2√5 = a-3b/b

√5 = 1/2 × (a -3b/b )

√ 5 = ( a- 3b / 2b )

there, √ 5 = irrational number

( a- 3b / 2b ) = rational number

we know that

rational number is not equal to irrational number

thus , 3 + 2√5 is irrational number ..

thanks.....